Positive for Hepatitis B surface antigen. The participant is positive for hepatitis B surface antigen, or hepatitis C ribonucleic acid (RNA) Active infection requiring therapy, including known positive tests for Hepatitis B surface antigen and hepatitis C virus (HCV) RNA Active infection, known human immunodeficiency virus infection, or positive test for hepatitis B surface antigen or hepatitis C. Any known human immunodeficiency virus (HIV) infection, hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Active systemic infection requiring therapy, positive tests for hepatitis B surface antigen or hepatitis C ribonucleic acid (RNA) Hepatitis B - antigen positive The participant is positive for hepatitis B surface antigen, or hepatitis C ribonucleic acid (RNA) Known hepatitis B surface antigen-positive or known or suspected active hepatitis C infection. Known hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Known hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection. Known history of hepatitis B or hepatitis C infection or known positive test for hepatitis B surface antigen, hepatitis B core antigen, or hepatitis C polymerase chain reaction Hepatitis B virus surface antigen positive Known hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection No significant medical illness that in the investigator’s opinion cannot be adequately controlled with appropriate therapy or would compromise the patient’s ability to tolerate this therapy, including\r\n* Unstable cardiovascular function\r\n* Known active hepatitis A, B, or C infection; or known to be positive for hepatitis C virus (HCV) ribonucleic acid (RNA) or hepatitis B surface antigen (HBsAg) (hepatitis B virus [HBV] surface antigen)\r\n* Markedly decreased visual acuity\r\n* Active infection requiring intravenous antibiotics Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection. Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection Known hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Active infection requiring therapy, including positive tests for hepatitis B surface antigen or hepatitis C ribonucleic acid (RNA) Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection Active infection requiring therapy, positive tests for hepatitis B surface antigen or hepatitis C ribonucleic acid (RNA) Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection Known hepatitis B surface antigen-positive, or known or suspected active hepatitis\r\nC infection Active infection requiring therapy, positive tests for hepatitis B surface antigen or hepatitis C ribonucleic acid (RNA) Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection Positive tests for hepatitis B surface antigen or hepatitis C ribonucleic acid (RNA) Active Hepatitis A, B, or C infection or known to be positive for HCV RNA or HBV surface antigen. Patients who have been vaccinated against Hepatitis B and who are positive for ONLY the Hepatitis B surface antibody are permitted to participate in the study. Hepatitis B surface antigen (+) or hepatitis C positive in preceding six months Hepatitis B surface antigen positive Active hepatitis B or C viral infection or hepatitis B surface antigen positive Known hepatitis B surface antigen-positive, known or suspected active hepatitis C infection (testing not required). Active systemic infection requiring therapy, positive tests for hepatitis B surface antigen or hepatitis C antibody Patients with known history of hepatitis B surface antigen-positive, or known history or suspected active hepatitis C infection are not to be enrolled in the study Active hepatitis B or C viral infection or hepatitis B surface antigen positive Known hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Patient is known to be hepatitis B surface antigen-positive or has known active hepatitis C infection. Known Hepatitis B surface antigen positive or hepatitis C positive Patient is known to be human immunodeficiency virus (HIV) positive, or have chronic or active hepatitis B (core- or surface antigen-positive) or active hepatitis C infection Hepatitis B surface antigen positive Subject who tests positive for hepatitis B surface antigen (HBVsAg) or hepatitis C RNA indicating acute or chronic infection except for subjects with hepatocellular carcinoma; Positive Hepatitis B surface antigen test Patients who are known hepatitis B surface antigen-positive are not eligible Patients who have known or suspected active hepatitis C infections are not eligible; NOTE: patients who are hepatitis C surface antigen-positive are eligible Active hepatitis B infection as determined by hepatitis B surface antigen. Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection. Active infection requiring therapy, positive tests for Hepatitis B surface antigen or Hepatitis C ribonucleic acid (RNA) except in patients with HCC, who meet the following criteria: Known human immunodeficiency virus (HIV) positive, hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection. Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection Ongoing or active infection, known HIV positive, known to be hepatitis B surface antigen-positive or has known or suspected active hepatitis C infection. Positive Hepatitis B surface antigen test Active hepatitis B infection as determined by test for hepatitis B surface antigen. Known or suspected human immunodeficiency virus (HIV), hepatitis B surface antigen-positive status or known or suspected active hepatitis C infection. Known hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Active Hepatitis B infection as determined by test for hepatitis B surface antigen. Patients who are known to be hepatitis B surface antigen positive. Active evidence of hepatitis B or C infection; hepatitis B surface antigen positive Known active hepatitis A, B, or C infection; or known to be positive for hepatitis C virus (HCV) ribonucleic acid (RNA) or hepatitis B surface antigen (HBsAg) (hepatitis B virus [HBV] surface antigen) Subject with known hepatitis B surface antigen (HBsAg) positive status; or known or suspected active hepatitis C infection; or known human immunodeficiency virus (HIV) positive. Known active hepatitis A, B, or C infection; or known to be positive for hepatitis C virus (HCV) RNA or hepatitis B surface antigen (HBsAg) (hepatitis B virus [HBV] surface antigen) Known hepatitis B surface antigen positive or known or suspected active hepatitis C infection. Known to be positive for hepatitis B by surface antigen expression Known human immunodeficiency virus (HIV) positive or hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Known hepatitis B surface antigen-positive, or known or suspected active hepatitis C infection Known active hepatic disease (known hepatic cirrhosis, hepatitis B surface antigen positive status, or suspected active hepatitis C infection) Known active hepatic disease (known hepatic cirrhosis, hepatitis B surface antigen positive status, or suspected active hepatitis C infection) Known human immunodeficiency virus (HIV) positive, hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Has Known human immunodeficiency virus (HIV) positive, hepatitis B surface antigen-positive status, or known or suspected active hepatitis C infection Active hepatitis B or hepatitis C infection (hepatitis B surface antigen testing required) Known active hepatitis A, B, or C infection; or known to be positive for hepatitis C virus (HCV) RNA or hepatitis B surface antigen (HBsAg) (hepatitis B virus [HBV] surface antigen) Known HIV positive, hepatitis B surface antigen positive or known or suspected active hepatitis C infection. Known hepatitis B surface antigen positive, or known or suspected active hepatitis C infection. Known active hepatitis A, B, or C infection; or known to be positive for hepatitis C virus ribonucleic acid (RNA) or hepatitis B virus surface antigen. Known history of hepatitis B or hepatitis C infection or known positive test for hepatitis B surface antigen, hepatitis B core antigen, or hepatitis C polymerase chain reaction. Known hepatitis B surface antigen-positive or known or suspected active hepatitis C infection (testing not required). Patients with a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection might be enrolled if the viral load by PCR is undetectable with/without active treatment Patients must not have known human immunodeficiency virus (HIV), or a known positive test for hepatitis B virus surface antigen (HBV sAg), or hepatitis C virus ribonucleic acid (HCV antibody) indicating current acute or chronic infection; patients with a positive hepatitis C antibody with a negative viral load are allowed Positive test for hepatitis B virus (HBV) using HBV surface antigen (HBV sAg) test or positive test for hepatitis C virus (HCV) using HCV ribonucleic acid (RNA) or HCV antibody test indicating acute or chronic infection. Any positive test for hepatitis B virus (HBV) using HBV surface antigen (HBV sAG) test or positive test for hepatitis C virus (HCV) using HCV ribonucleic acid (RNA) or HCV antibody test indicating acute or chronic infection Patients should be excluded if they are positive test for hepatitis B virus surface antigen (hepatitis B virus [HBV] surface antigen [sAg]) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection Subject who tests positive for hepatitis B surface antigen (HBVsAg) or hepatitis C ribonucleic acid (RNA) indicating acute or chronic infection; Active viral disease or positive test for hepatitis B virus using hepatitis B surface antigen test or positive test for hepatitis C virus (HCV) using HCV ribonucleic acid or HCV antibody test indicating acute or chronic infection. Positive test for HIV or AIDS; testing is not required in the absence of history Patients should be excluded if they are known to be positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection Patients with a known positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection might be enrolled if the viral load by polymerase chain reaction (PCR) is undetectable with/without active treatment Any positive test for hepatitis B or hepatitis C virus indicating acute or chronic infection.\r\n* Hepatitis B and C testing required =< 28 days prior to initiating protocol-indicated treatment, including at least: hepatitis B surface antigen (HBV sAg); and hepatitis C virus antibody (HCV Ab) or hepatitis C virus ribonucleic acid (HCV RNA). Positive test for hepatitis B virus surface antigen (HBV sAg) or detectable hepatitis C virus ribonucleic acid (HCV RNA) indicating acute or chronic infection. Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (RNA) or hepatitis C antibody (HCV antibody) indicating acute or chronic infection Patients should be excluded if they are known to be positive for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection. Positive HBV or HCV test indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus (HCV antibody) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating acute or chronic infection. Known positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid indicating acute or chronic infection Patients with a known positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection are not eligible Known hepatitis B virus (HBV) or hepatitis B virus (HCV) (patients are excluded if they are positive test for hepatitis B virus surface antigen (HBVsAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection) Positive test for hepatitis B virus surface antigen (HBVsAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus (HCV) antibody indicating acute or chronic infection Patients with a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection might be enrolled if the viral load by PCR is undetectable with/without active treatment Patients should be excluded if they have a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating ongoing acute or chronic infection Patients should be excluded if they are positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection Patients should be excluded if they have a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus (ribonucleic acid or hepatitis C virus [HCV] antibody) indicating acute or chronic infection Patients should be excluded if they have a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating acute or chronic infection Patients should be excluded if they are positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Patients should be excluded if they are known to be positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Positive HBV or HCV test indicating acute or chronic infection. Subjects with a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus RNA or hepatitis C antibody (HCV antibody) indicating acute or chronic infection. REGISTRATION TO TREATMENT (STEP 1): Patients with a known positive test for hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection might be enrolled if the viral load by polymerase chain reaction (PCR) is undetectable with/without active treatment REGISTRATION TO TREATMENT (STEP 2): Patient with a known positive test for hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection might be enrolled if the viral load by PCR is undetectable with/without active treatment Tested positive for hepatitis B surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection. Positive test for hepatitis B virus surface antigen (HBV s Ag) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Patients should be excluded if they are positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Subjects should be excluded if they are positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection. Positive tests for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating active or chronic infection Positive tests for hepatitis B virus surface antigen (HBV SAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating active or chronic infection (hepatitis C antibody test will be the primary test, and the RNA testing will only be used to confirm a positive antibody test) Patients must not have a known positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection; patients with a positive hepatitis C antibody with a negative viral load are allowed Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Patients should be excluded if they have a positive test for hepatitis B virus surface antigen (hepatitis B surface antigen [HBV sAg]) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection; Positive tests for hepatitis B virus surface antigen (HBV SAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating active or chronic infection Patients should be excluded if they test positive for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection. Patients are excluded if they test positive for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Patients are not eligible if they have a known positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute infection; Note: Patients with evidence of chronic hepatitis B infection will be allowed to enroll if on appropriate suppressive medications under the direction of a hepatologist and with PI approval Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV RNA) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV s Ag) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Positive HBV or HCV test indicating acute or chronic infection. Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (hepatitis C virus [HCV] antibody) indicating acute or chronic infection (if patient has documented hepatitis B and C from within 6 months of enrollment, these tests do not need to be repeated) Patients should be excluded if they have a known history of testing positive for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus antibody (HCV antibody) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen or hepatitis C virus ribonucleic acid indicating acute or chronic infection Patients are excluded if they have a positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus ribonucleic acid (HCV antibody) indicating acute or chronic infection Positive test for hepatitis B virus (HBV) using HBV surface antigen (HBV sAg) test or positive test for hepatitis C virus (HCV) using HCV ribonucleic acid (RNA) or HCV antibody test indicating acute or chronic infection Positive test for hepatitis B virus surface antigen (HBV sAg) or hepatitis C virus (HCV antibody) at screening indicating acute or chronic infection Negative for hepatitis B, or if infected with hepatitis B, receiving anti-hepatitis B therapy; all participants will be required to be screened for hepatitis B; per Infectious Disease Society of America (IDSA) and Assistance for AIDS Specific Drugs (AASD) guidelines, those participants that show no immunity, defined by the lack of hepatitis B surface antigen antibody, and show evidence of chronic infection (i.e. hepatitis B surface antigen [HBsAg]+, hepatitis B core [HBcore]+, hepatitis B surface antibody [HBsAB]-) will be required to be on anti-hepatitis B therapy during the study in order to be eligible; patients will be permitted to enroll in the study provided normal liver function tests and no evidence of cirrhosis; the exact hepatitis B therapy will be at the discretion of the infection disease specialist or investigator; however all patients who present with acute hepatitis B or show normal transaminases and are hepatitis B virus HBsAg surface protein antigen (HBsAg) positive (+) and immunoglobulin M (IgM)+ for hepatitis core antigen will not be eligible for trial enrollment Patients with known hepatitis B surface antigen seropositive or known or suspected active hepatitis C infection are not eligible; NOTE: patients who have isolated positive hepatitis B core antibody (i.e., in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load; patients who have positive hepatitis C antibody may be included if they have an undetectable hepatitis C viral load Patients with known human immunodeficiency virus (HIV) disease taking antiretroviral therapy are excluded\r\n* Patients with known chronic active hepatitis B (defined as a positive hepatitis B surface antigen and/or hepatitis B viral load in the last 12 months) are excluded, regardless of antiviral treatment Patient has a positive test for Hepatitis B surface antigen, Hepatitis C antibody, human immunodeficiency virus HIV-1 or HIV-2 antibody, or has a history of a positive result for hepatitis C virus (HCV) or HIV For selected higher-risk group B and all group C participants receiving rituximab only (e.g., those with MLBCL, stage III with LDH >= 2 x ULN, and/or bone marrow/central nervous system [CNS] involvement): all participants who will receive rituximab must have hepatitis screening prior to enrollment; participants whose results indicate that they are carrier of hepatitis B can still be treated as per group B or C but will NOT receive rituximab; this screening must be done for eligibility for participants who will receive rituximab, BUT the results are not needed prior to enrollment:\r\n* Hepatitis B immunization status (vaccination yes or no)\r\n* Hepatitis B surface antigen (HBsAg)\r\n* Anti-hepatitis B surface (HBs) antibody\r\n* Anti-hepatitis B core (HBc) antibody Known hepatitis B surface antigen seropositivity or known or suspected active hepatitis C infection; Note: Patients who have isolated positive hepatitis B core antibody (i.e. in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load Active hepatitis B infection as demonstrated by test for hepatitis B surface antigen. Subjects who are hepatitis B surface antigen negative but are hepatitis B core antibody positive must have undetectable hepatitis B DNA and receive prophylaxis against viral reactivation. Prophylaxis should be initiated prior to lymphodepleting therapy and continued for 6 months. Subject has known positivity for Hepatitis B surface antigen or Hepatitis C antibody Participants who are hepatitis C virus antibody positive, or hepatitis B virus surface antigen positive must be free of clinical evidence of cirrhosis as determined by the principal investigator in consultation with the gastroenterology service; timeline: within 3 weeks prior to enrollment Child-Pugh B or C hepatic impairment; patients with a history of hepatitis or significant exposure risk should be tested for hepatitis B and C with serologic markers: hepatitis B surface antigen (HBsAg), hepatitis B surface antibody (HBs Ab), hepatitis B core immunoglobulin G antibody (HBcoreIgG Ab), hepatitis C virus antibody (HCV Ab); patients with active hepatitis B or C are excluded Positive serology for hepatitis B (HB) defined as a positive test for hepatitis B surface antigen or hepatitis B core antibody Patients with a positive hepatitis B core antibody (HBVcAb) must have negative viral load measurement Active hepatitis B or hepatitis C (defined as positive-HBV surface antigen or detectable HCV-antibody); patients with a positive Hepatitis B core antibody (HBVcAb) must have negative viral load measurement Seropositive for Human Immunodeficiency Virus (HIV) 1 or HIV 2, or positive hepatitis B surface antigen (HBsAg) or hepatitis C antibody Positive exclusion tests: urine pregnancy tests (if applicable), HIV, hepatitis B surface antigen, or hepatitis C virus DONOR: HIV negative, hepatitis B virus surface antigen negative, and hepatitis C virus antibody negative Patients who have a known active hepatitis B or hepatitis C infection are ineligible; patient must have documented evidence of negative tests for the presence of hepatitis B surface antigen and hepatitis C (anti-hepatitis C virus [HCV] antibody OR hepatitis [Hep] C RNA-qualitative); human immunodeficiency virus (HIV)-positive patients are eligible if the following criteria are met:\r\n* Stable on their antiretroviral agents\r\n* Have CD4 counts above 400\r\n* Undetectable viral loads, and\r\n* No need for prophylactic medications for an opportunistic infections EXCLUSION CRITERIA FOR STRATUM C: Patients who have a known active hepatitis B or hepatitis C infection are ineligible; patient must have documented evidence of negative tests for the presence of hepatitis B surface antigen and hepatitis C (anti-HCV antibody OR Hep C RNA-qualitative); HIV-positive patients are eligible if the following criteria are met:\r\n* Stable on their antiretroviral agents\r\n* Have CD4 counts above 400\r\n* Undetectable viral loads, and\r\n* No need for prophylactic medications for an opportunistic infections Known active hepatitis B (e.g., hepatitis B surface antigen [HBsAg] reactive) or hepatitis C (e.g., hepatitis C virus [HCV] ribonucleic acid [RNA] [qualitative] is detected); NOTE: patients with active hepatitis B defined by hepatitis B surface antigen positivity or core antibody positivity in the presence of hepatitis B deoxyribonucleic acid (DNA) are not eligible for this study; patients with a positive hepatitis B core antibody but with negative hepatitis B DNA may participate, but must have hepatitis serologies and hepatitis B DNA monitored periodically by the treating physician\r\n* NOTE: intravenous immunoglobulin (IVIG) can cause a false positive hepatitis B serology; if patients receiving routine IVIG have core antibody or surface antigen positivity without evidence of active viremia (negative hepatitis B DNA) they may still participate in the study, but should have hepatitis serologies and hepatitis B DNA monitored periodically by the treating physician Documented human immunodeficiency virus (HIV), active bacterial infections, active or chronic hepatitis B, hepatitis C or HTLV-II infection\r\n* A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute hepatitis B infection is not an exclusion criterion\r\n* A positive hepatitis C serology is an exclusion criterion Hepatitis B surface antigen or hepatitis B core antibody positive Active hepatitis B virus (HBV) or hepatitis C virus infection that requires treatment or at risk for HBV reactivation. At risk for HBV reactivation is defined as hepatitis B surface antigen positive or anti-hepatitis B core antibody positive. Previous test results obtained as part of standard of care (ie, hepatitis B surface antigen negative, surface antibody positive) may be used for purposes of eligibility and tests do not need to be repeated. Subjects with previous positive serology results must have negative polymerase chain reaction results. Subjects whose immune status is unknown or uncertain must have results confirming immune status before enrollment Subject is known to be positive for hepatitis B or C infection with the exception of those with an undetectable viral load; hepatitis B or C testing is not required and subjects with serologic evidence of prior vaccination to hepatitis B virus (HBV) (i.e., hepatitis B surface antigen [HBsAg], hepatitis B surface antibody positive (anti-HBs+) and antibody to hepatitis B core antigen [anti-HBc–]) may participate History of human immunodeficiency virus (HIV) infection or active hepatitis B or C; intravenous immunoglobulin (IVIG) can cause a false positive hepatitis B serology; if patients receiving routine IVIG have core antibody or surface antigen positivity without evidence of active viremia (negative hepatitis B deoxyribonucleic acid [DNA]) they may still participate in the study, but should have hepatitis serologies and hepatitis B DNA monitored periodically by the treating physician Positive hepatitis panel (including hepatitis B surface antigen and/or hepatitis C virus antibody) prior to or at Screening Known hepatitis B surface antigen seropositive or known or suspected active hepatitis C infection\r\n* Note: patients who have isolated positive hepatitis B core antibody (ie, in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load Documented negative human immunodeficiency virus (HIV) antigen and antibody, hepatitis B surface antigen, and hepatitis C antibody within 3 months prior to enrollment; for patient with positive hepatitis C antibody (Ab), negative PCR testing must be documented in order to be eligible Known human immunodeficiency virus (HIV), hepatitis C, or hepatitis B positivity (subjects with hepatitis B surface antigen [SAg] or core antibody positivity, who are receiving and responding to antiviral therapy directed at hepatitis B or are negative for hepatitis B virus [HBV] deoxyribonucleic acid [DNA], are allowed) Has known hepatitis B surface antigen seropositive, or known or suspected active hepatitis C infection. Note: Participants who have isolated positive hepatitis B core antibody (i.e., in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load. Documented negative human immunodeficiency virus (HIV) antigen and antibody, hepatitis B surface antigen, and hepatitis C antibody within 3 months prior to enrollment; for patient with positive hepatitis C antibody (Ab), negative PCR testing must be documented in order to be eligible Patients known to be human immunodeficiency virus (HIV) positive, hepatitis B or C positive, or both rapid plasma reagin (RPR) and fluorescent treponemal antibody (FTA) positive; (hepatitis B surface or core antibody alone is not indicative of hepatitis B virus [HBV] infection) Patients who are human immunodeficiency virus (HIV) positive but who have no prior acquired immunodeficiency syndrome (AIDS)-defining illness and have CD4 cells of at least 350/mm^3 are eligible; HIV-positive patients must not have multi-drug resistant HIV infection or other concurrent AIDS-defining conditions; patients must not be sero-positive for hepatitis B (hepatitis B surface antigen positive or anti-hepatitis B core antigen positive) or seropositive for hepatitis C (anti-hepatitis C antibody positive); however, patients who are immune to hepatitis B (anti-Hepatitis B surface antibody positive) are eligible (e.g. patients immunized against hepatitis B) No active or chronic hepatitis infection; hepatitis C virus (HCV) antibody (for hepatitis C) and hepatitis B Surface antigen must be negative within 14 days prior to Step 2 registration Performance of a donor infectious disease screen panel including cytomegalovirus (CMV) antibody, hepatitis B surface antigen, hepatitis B core antibody, hepatitis C antibody, HIV 1/2 antibody, HTLVA 1/2 antibody, rapid plasma reagin and Trypanosoma cruzi (T. cruzi) or per current standard institutional donor screen – must be negative for HIV and active hepatitis B All participants will be required to be screened for hepatitis B; all participants who present with acute hepatitis B or show normal transaminases and are hepatitis B surface antigen (HBsAg) positive (+) and IgM+ for hepatitis core antigen will not be eligible for trial enrollment; per Infectious Diseases Society of America (IDSA) and Assistance for AIDS Specific Drugs (AASD) guidelines, those participants that show no immunity, defined by the lack of hepatitis B surface antibody, and show evidence of chronic infection (i.e. hepatitis B [HB]sAg+, HBcore+, hepatitis B surface antibody [HBsAB] negative [-]) will be required to be on anti-hepatitis B therapy, during the study, in order to be eligible; the exact hepatitis B therapy will be at the discretion of the infection disease specialist or investigator; if infected with hepatitis B, participants will be permitted to enroll in the study provided liver function tests meet criteria listed above, there is no evidence of cirrhosis AND participants will be required to be on anti-hepatitis B therapy Chronic hepatitis: Positive test for Hepatitis B virus surface antigen or Hepatitis C antibody (except for subjects with hepatocellular carcinoma) Known hepatitis B surface antigen seropositive or known or suspected active hepatitis C infection; Note: Patients who have isolated positive hepatitis B core antibody (ie, in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load; patients who have positive hepatitic C antibody may be included if they have an undetectable hepatitis C viral load Patients with history of hepatitis B or C infection are not permitted to enroll; to enroll patients must have no evidence of hepatitis B or C surface antigen (Ag) and negative hepatitis B core antibody (Ab); patients previously immunized for hepatitis B who are hepatitis B surface Ab positive, but surface Ag and core Ab negative are eligible Have active infection with human immunodeficiency virus (HIV) (negative HIV 1/2 antibody screen), hepatitis C (negative hepatitis C antibody screen), or hepatitis B (negative hepatitis B surface antigen); any positive serologies for HIV or viral hepatitis should be confirmed with appropriate confirmatory testing before concluding that an active infection is present; subjects with positive hepatitis core antibody are also excluded since the effect of long-term B cell depletion on the risk of hepatitis B reactivation is unknown Active hepatitis B infection (defined as the presence of detectable hepatitis B virus [HBV] deoxyribonucleic acid [DNA], hepatitis B e [HBe] antigen or hepatitis B surface [HBs] antigen); subjects with serologic evidence of prior vaccination (hepatitis B surface antigen [HBsAg] negative, anti-HBs antibody positive, anti-hepatitis B core [HBc] antibody negative) are eligible; patients who are HBsAg negative/hepatitis B surface antibody (HBsAb) positive but hepatitis B core antibody (HBcAb) positive are eligible, provided HBV DNA is negative PRIOR TO CELL PROCUREMENT: Patients who are positive for hepatitis B surface antigen are excluded; patients who are hepatitis B surface antigen negative but hepatitis B core antibody positive must have their hepatitis B viral load checked; these subjects will be excluded if their viral load is positive at baseline; subjects who are core antibody positive and viral load negative at baseline will be considered eligible PRIOR TO LYMPHODEPLETION: Patients who are positive for hepatitis B surface antigen are excluded; patients who are hepatitis B surface antigen negative but hepatitis B core antibody positive must have their hepatitis B viral load checked; these subjects will be excluded if their viral load is positive at baseline; subjects who are core antibody positive and viral load negative at baseline will be considered eligible if the subject has initiated an anti-HBV prophylaxis regimen prior to lymphodepletion PRIOR TO INFUSION OF ATLCAR.CD30 CELLS: Patients who are positive for hepatitis B surface antigen are excluded; patients who are hepatitis B surface antigen negative but hepatitis B core antibody positive must have their hepatitis B viral load checked; these subjects will be excluded if their viral load is positive at baseline; subjects who are core antibody positive and viral load negative at baseline will be considered eligible; these subjects must be receiving antiviral prophylaxis initiated prior to lymphodepletion Documented human immunodeficiency virus (HIV), active bacterial infections, active or chronic hepatitis B, hepatitis C\r\n* Positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antigen [HBsAb] positive and hepatitis B core antibody [HBcAb] negative) or a fully resolved acute hepatitis B infection is not an exclusion criterion\r\n* Positive hepatitis C serology is an exclusion criterion\r\nNOTE: HIV-positive patients are excluded from the study Human immunodeficiency virus (HIV) negative and hepatitis B surface antigen (HBs-Ag) negative Patients with human immunodeficiency virus (HIV), hepatitis B surface antigen or hepatitis C positive; or with a history of chronic active hepatitis or cirrhosis Active hepatitis B as defined by seropositivity for hepatitis B surface antigen (HBsAg); subjects with positive hepatitis B core antibody titers and normal liver transaminases are allowed provided that antiviral prophylaxis is administered per institutional guidelines; NOTE: subjects with hepatitis C antibody will be eligible provided that they do not have elevated liver transaminases or other evidence of active hepatitis Seropositive for HIV antibodies (HIV1 and HIV2), Hepatitis C antibody (Hep C Ab) or a Hepatitis B carrier (positive for Hepatitis B surface antigen [HBsAg]). Have received a diagnosis of human immunodeficiency virus (HIV), hepatitis B or hepatitis C (patients who are hepatitis C antibody positive may be enrolled if they are confirmed with negative viral load at screening) ADDITIONAL CRITERIA FOR STUDY CONTINUATION: Have received a diagnosis of human immunodeficiency virus (HIV), hepatitis B or hepatitis C (patients who are hepatitis C antibody positive may be enrolled if they are confirmed with negative viral load at screening) History of acute/chronic hepatitis B or C and/or carriers of hepatitis B or C (positive for hepatitis B surface antigen or positive anti-hepatitis C antibody test) and evidence of current or active infection (e.g. HCV RNA test) Known history of seropositive for human immunodeficiency virus (HIV) antibodies (HIV1 and HIV2), hepatitis C antibody (Hep C Ab) or a hepatitis B carrier (positive for hepatitis B surface antigen [HBsAg]) Patients who demonstrate the presence of antibodies to human immunodeficiency virus (HIV) or hepatitis C or presence of hepatitis B surface antigen or other active infectious process that could suppress the immune system and potentially interfere with the development of an immune response to the tumor antigen are NOT eligible for participation Known human immunodeficiency virus (HIV) seropositive, hepatitis C infection, and/or hepatitis B (except for patients with hepatitis B surface antigen [Sag] or core antibody receiving and responding to antiviral therapy directed at hepatitis B: these patients are allowed) MATCHED RELATED DONOR: Donors must be HIV negative, hepatitis B surface antigen negative, and hepatitis C antibody negative; this is to prevent the possible transmission of these infections to the recipient HAPLOIDENTICAL RELATED DONOR: Donors must be HIV negative, hepatitis B surface antigen negative, and hepatitis C antibody negative; this is to prevent the possible transmission of these infections to the recipient Hepatitis B surface antigen negative and hepatitis C antibody negative MATCHED RELATED DONOR: Donors must be human immunodeficiency virus (HIV) negative, hepatitis B surface antigen negative, and hepatitis C antibody negative HAPLOIDENTICAL RELATED DONOR: Donors must be HIV negative, hepatitis B surface antigen negative, and hepatitis C antibody negative DONOR: Donors must be human immunodeficiency virus (HIV) negative, hepatitis B surface antigen negative, and hepatitis C antibody negative Evidence of infection with HIV, hepatitis B or hepatitis C; patients must be HIV negative, hepatitis B surface antigen, and hepatitis C antibody negative; the high degree of immune suppression that may be used in this study may lead to the activation or progression of these viral illnesses Documented evidence of negative tests for the presence of hepatitis B surface antigen, hepatitis C antibody, and human immunodeficiency virus (HIV)1 and HIV2 antibodies within the three months preceding study entry; subjects who do not have such evidence must undergo appropriate testing prior to virus administration With ongoing or active systemic infection requiring intravenous (IV) medical management, known human immunodeficiency virus (HIV-RNA) positive, known hepatitis B surface antigen seropositive, or known hepatitis C virus-RNA positive. Note: Participants who have positive hepatitis B core antibody can be enrolled but must have hepatitis B virus-DNA negative. Participants who have positive hepatitis C antibody can be enrolled but must have hepatitis C virus-RNA negative. Positive hepatitis panel (including hepatitis B surface antigen and/or hepatitis C virus antibody) prior to or at Screening Positive hepatitis panel (including hepatitis B surface antigen and/or hepatitis C virus antibody) prior to or at Screening Known hepatitis B surface antigen seropositivity or known or suspected active hepatitis C infection\r\n* Note: Patients who have isolated positive hepatitis B core antibody (i.e., in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load; patients who have positive hepatitis C antibody may be included if they have an undetectable hepatitis C viral load Patients who are Hepatitis B or Hepatitis C antibody positive. Positivity for hepatitis B (defined as HepBs Antigen +), hepatitis C (defined as HepC Antibody +), or HIV; HIV positive patients on antiretroviral therapy will be excluded; Known hepatitis B surface antigen seropositive or known or suspected active hepatitis C\r\nInfection; Note: Patients who have isolated positive hepatitis B core antibody (i.e., in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load Subject is known to be seropositive for human immunodeficiency virus (HIV), hepatitis B surface antigen, or hepatitis C antibody (unless treated curatively) Human immunodeficiency virus (HIV) positive or evidence of infection with hepatitis B or C virus, as defined by any of the following criteria (if patients have not previously been tested for the following, these will be conducted during screening):\r\n* HIV antibody positive\r\n* Hepatitis B surface antigen or core antibody positive\r\n* Hepatitis C antibody positive Negative hepatitis B surface antigen Subject has know positivity for Hepatitis B surface antigen test or Hepatitis C Antibody Cirrhosis or chronic hepatitis C virus positivity or chronic hepatitis B infection-a positive hepatitis B serology indicative or previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion Known history of Human Immunodeficiency Virus (HIV) or active Hepatitis B or C. Intravenous immunoglobulin (IVIG) can cause a false positive hepatitis B serology. If patients receiving routine IVIG have core antibody or surface antigen positivity without evidence of active viremia (negative hepatitis B DNA) they may still participate in the study, but should have hepatitis serologies and Hepatitis B DNA monitored periodically by the treating physician. Active hepatitis B or C with uncontrolled disease; NOTE: a detailed assessment of hepatitis B/C medical history and risk factors must be done at screening for all patients; hepatitis B core immunoglobulin M antibody (HBcIgM Ab), hepatitis B surface antigen (HBsAg) and hepatitis C antibody screen (HCV Ab Scrn) w/reflex testing are required at screening for all patients with a positive medical history based on risk factors and/or confirmation of prior hepatitis B (HBV) infection Cirrhosis or chronic hepatitis C virus positivity or chronic hepatitis B infection \r\n* NOTE: A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb]-positive and hepatitis B core antibody [HBcAb]-negative), or a fully resolved acute hepatitis B virus infection is not an exclusion criterion Documented cirrhosis or documented acute hepatitis; Note: a positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion Have known seropositivity for human immunodeficiency virus, hepatitis C virus, hepatitis B surface antigen, or syphilis; does not require serologic confirmation as a study procedure Active or chronic hepatitis B, hepatitis C or human T-cell lymphotropic virus (HTLV)-I infection; NOTE: a positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis C core antibody [HBcAb] negative), chronic asymptomatic viral hepatitis or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion DONOR: Performance of a donor infectious disease screen panel including cytomegalovirus (CMV) antibody, hepatitis B surface antigen, hepatitis B core antibody, hepatitis C antibody, HIV 1/2 antibody, HTLVA 1/2 antibody, rapid plasma reagin and Trypanosoma cruzi (T. cruzi) or per current University of Minnesota, Fairview Medical Center standard donor screen – must be negative for HIV and active hepatitis B Patients who are human immunodeficiency virus (HIV) positive but have no prior acquired immune deficiency syndrome (AIDS)-defining illness and have cluster of differentiation (CD)4 cells of at least 350/mm^3 are eligible; HIV-positive patients must not have multi-drug resistant HIV infection or other concurrent AIDS-defining conditions; patients must not be seropositive for hepatitis B (hepatitis B surface antigen positive or anti-hepatitis B core antigen positive) or seropositive for hepatitis C (anti-hepatitis C antibody positive); however, patients who are immune to hepatitis B (anti-hepatitis B surface antibody positive) are eligible (e.g. patients immunized against hepatitis B) Cirrhosis or chronic hepatitis C virus positivity or chronic hepatitis B infection; subjects who may not tolerate immune-mediated hepatitis due to compromised hepatic reserve are also excluded from participation including: 1) subjects with extensive liver metastasis (as judged by the investigator) 2) subjects who drink more than two standard alcoholic beverages per day on a regular basis 3) subjects who consume more than 2 grams of acetaminophen per day on a regular basis\r\n* A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion Cirrhosis, chronic hepatitis C virus positivity, or chronic hepatitis B infection; subjects who may not tolerate immune-mediated hepatitis due to compromised hepatic reserve also excluded from participation including: subjects with extensive liver metastasis (as judged by the investigator); subjects who drink more than two standard alcoholic beverages per day on a regular basis; subjects who consume more than 2 grams of acetaminophen per day on a regular basis\r\n* A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb]-positive and hepatitis B core antibody [HBcAb]-negative), or a fully resolved acute hepatitis B infection is not an exclusion criterion Active hepatitis B as defined by seropositivity for hepatitis B surface antigen; or patients with positive hepatitis B core antibody titers Adequate performance status (? 70 Karnofsky scale) with an estimated life expectancy\n of at least 6 months\n\n --Documented negative hepatitis B screen, per NCCN guidelines (hepatitis B surface\n antigen/antibodies, core antigen/antibodies, hepatitis B e-antigen) Known HIV positive or active hepatitis B or C, or presence of hepatitis B surface\n antigens or presence of hepatitis C antibody Negative for hepatitis B, or if infected with hepatitis B, receiving anti-hepatitis B therapy; all participants will be required to be screened for hepatitis B and C; per Infectious Disease Society of America (IDSA) and American Association for the Study of Liver Diseases (AASD) guidelines, those participants that show no immunity, defined by the lack of hepatitis B surface antibody, and show evidence of chronic infection (i.e. hepatitis B surface antigen positive [HBsAg+], hepatitis B core antibody positive [HBcore+], hepatitis surface antibody negative [HBsAB-]) will be required to be on anti-hepatitis B therapy, during the study, in order to be eligible; participants will be permitted to enroll in the study provided liver function tests meet criteria, and there is no evidence of cirrhosis; the exact hepatitis B therapy will be at the discretion of the infection disease specialist or investigator; however all participants who present with acute hepatitis B or show normal transaminases and are HBsAg+ and immunoglobulin (Ig)M+ for hepatitis core antigen will not be eligible for trial enrollment; participants who are hepatitis C antibody positive, with or without a positive hepatitis C RNA level, will be permitted to enroll in the study provided liver function tests meet criteria, and have no evidence of cirrhosis; participants diagnosed with hepatitis C less than 6 months from trial enrollment, will be considered to have acute hepatitis C and will be excluded from study unless hepatitis (hep) C viral load is undetectable Participants with viral hepatitis who do not meet the criteria will not be eligible; all participants who present with acute hepatitis B including those with normal transaminases who are HBsAg+ and IgM + for hepatitis core antigen will not be eligible; participants who are hepatitis B core antibody positive are eligible only if they start or are on prophylactic therapy; a hepatitis B viral load should be confirmed negative on all participants who are hepatitis B core antibody positive, but hepatitis B antigen negative; participants refusing to take any anti-hepatitis B therapy during study will also be excluded; participants diagnosed with hepatitis C are eligible if they meet criteria Patients who have human immunodeficiency virus (HIV) or hepatitis C; patients would not be excluded for hepatitis B surface antigen positivity if on lamivudine or entecavir Patients who have human immunodeficiency virus (HIV) or hepatitis C; patients would not be excluded for hepatitis B surface antigen positivity if on lamivudine Positive test for Hepatitis B virus surface antigen or Hepatitis C antibody (except for subjects with hepatocellular carcinoma) Positive Hepatitis C antibody test Subjects with a history of Hepatitis B or C are eligible on the condition that subjects have adequate liver function as defined by the protocol and are hepatitis B surface antigen negative and/or have undetectable HCV RNA. Primary malignancy of the central nervous system or malignancies related to human immunodeficiency virus or solid organ transplant. History of known HIV. History of known Hepatitis B surface antigen or positive Hepatitis C antibody (confirmed by RIBA). Has known history of chronic infection with hepatitis B virus (hepatitis B surface antigen positive) or hepatitis C virus (detectable anti-hepatitis C circulating viral RNA) Known to be positive for hepatitis B by surface antigen expression and hepatitis B core antibody Known hepatitis B surface antigen seropositive, or known or suspected active hepatitis C infection. Note: Participants who have isolated positive hepatitis B core antibody (that is, in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load. Presence of positive test results for hepatitis B (hepatitis B surface antigen [HbsAg] and/or total hepatitis B core antibody [anti-HBc]) or hepatitis C (hepatitis C virus [HCV] antibody) Patients with active hepatitis B defined by hepatitis B surface antigen positivity or core antibody positivity in the presence of hepatitis B DNA are not eligible for this study; patients with a positive hepatitis B core antibody but with negative hepatitis B DNA may participate, but must have hepatitis serologies and hepatitis B DNA monitored periodically by the treating physician\r\n* Intravenous immunoglobulin (IVIG) can cause a false positive hepatitis B serology; if patients receiving routine IVIG have core antibody or surface antigen positivity without evidence of active viremia (negative hepatitis B DNA) they may still participate in the study, but should have hepatitis serologies and hepatitis B DNA monitored periodically by the treating physician Participants with active viral hepatitis (positive hepatitis B surface antigen [HepB sAg], positive HepB core antibody [Ab] with positive hepatitis B [HepB] viral load, or positive hepatitis C [HepC] antibody with positive HepC viral load) Positive hepatitis B virus (HBV) surface antigen, or core antibody; and known or suspected active hepatitis C virus (HCV) infection, for the idelalisib arm; on the ibrutinib arm, patients with positive hepatitis B surface antigen may be appropriately treated and enrolled on this study as long as their HBV deoxyribonucleic acid (DNA) / viral load is undetectable; patients positive for hepatitis B (hepB) core antibody and negative for surface antigen are eligible for the ibrutinib arm, as are patients with hepatitis C Patient has known active hepatitis B (e.g., hepatitis B surface antigen [HBsAg] reactive) or hepatitis C (e.g., hepatitis C virus [HCV] ribonucleic acid [RNA] [qualitative] is detected)\r\n* Note: a positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb]-positive and hepatitis B core antibody [HBcAb]-negative) or a fully resolved acute hepatitis B infection is not an exclusion criterion Have received a diagnosis of human immunodeficiency virus (HIV), hepatitis B or hepatitis C (patients who are hepatitis C antibody positive may be enrolled if they are confirmed with negative viral load at screening) Known seropositivity to human immunodeficiency virus (HIV), current acute or chronic hepatitis B (hepatitis B surface-antigen positive), hepatitis C, cirrhosis or evidence of decompensated liver disease. Patients with resolved Hepatitis B can be included. Patients who are positive for hepatitis B core antibody, but negative for the hepatitis B surface antigen, should be on lamivudine 100 mg daily until at least 3 months post-transplant Known hepatitis B surface antigen seropositive or known or suspected active hepatitis C infection\r\n* Note: Patients who have isolated positive hepatitis B core antibody (i.e., in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load; patients who have positive hepatitis C antibody may be included if they have an undetectable hepatitis C viral load Patients with human immunodeficiency virus (HIV), hepatitis B surface antigen or hepatitis C positive; or with a history of chronic active hepatitis or cirrhosis Known human immunodeficiency virus (HIV), hepatitis B or C infection (with the exception of chronic or cleared hepatitis B virus [HBV] and hepatitis C virus [HCV] infection which will be allowed provided the following tests are done at screening: viral hepatitis serology, hepatitis B surface antigen and hepatitis B core antibody [immunoglobulin M (IgM)] and/or hepatitis C ribonucleic acid [RNA]) HIV infection or active hepatitis B (defined as hepatitis B surface antigen positive) or C (defined as hepatitis C antibody positive) Known human immunodeficiency virus (HIV) positive, or active hepatitis A, hepatitis B or hepatitis C; if hepatitis B surface antigen positive or B core antibody positive must have normal liver function tests and be willing and able to take anti-hepatitis medication such as lamivudine or equivalent A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B virus surface antibody [HBsAb] positive and hepatitis B virus core antibody [HBcAb] negative), or a fully resolved acute hepatitis B infection is not an exclusion criterion Patients must have negative antibody serology for the human immunodeficiency virus (HIV1 and 2) and hepatitis C virus and negative test for hepatitis B surface antigen Positive serology for human T-lymphotropic virus (HTLV) I, human immunodeficiency virus (HIV), hepatitis A, hepatitis B, or hepatitis C infection including a positive hepatitis B serology indicative of previous immunization (i.e. hepatitis B surface antibody [HBs Ab] positive and hepatitis B core antibody [HBc Ab] negative) Chronic active hepatitis B infection; patients may be hepatitis B core antibody positive but must be surface antigen negative and without active evidence of disease Known hepatitis B antigen (Ag) positive (this includes hepatitis B core Ag and hepatitis B surface Ag positive patients,) hepatitis C antibody positive patients Known HIV or hepatitis B/C infection (testing not required). Subjects who are hepatitis C antibody positive may be enrolled if they are confirmed to have a negative viral load at screening. Negative tests for HIV antibodies, Hepatitis B surface antigen, and hepatitis C antibodies. Active hepatitis B as defined by seropositivity for hepatitis B surface antigen or positive hepatitis B core antibody. Subjects with hepatitis C antibody will be eligible provided that they do not have elevated liver transaminases DONOR: Donors must be human immunodeficiency virus (HIV) negative, hepatitis B surface antigen negative, and hepatitis C antibody negative Active hepatitis B or C (defined as positive hepatitis B surface antigen, hepatitis C antibody) Subject has a known history of a positive test for hepatitis B surface antigen or hepatitis C antibody. Active hepatitis B or C infection as defined by seropositivity for hepatitis B (hepatitis B surface antigen [HbsAg]) or hepatitis C (hepatitis C antibody) and elevated liver transaminases (defined as above the ULN per the institution normal ranges) Prior, current, or chronic hepatitis B or hepatitis C infection, positive result for hepatitis B surface antigen (HBsAg) or hepatitis B core antibody (HBcAb) or hepatitis C virus antibodies (HCV Ab) All subjects must be screened for hepatitis B and C infection; subjects must either have no history of hepatitis B or C, or must meet the following criteria in order to e eligible:\r\n* Hepatitis B: Subjects infected with hepatitis B must receive anti-hepatitis B therapy; per Infectious Diseases Society of America (IDSA) and American Association for the Study of Liver Diseases (AASLD) guidelines, subjects that show no immunity, defined by the lack of hepatitis B surface antibody, and show evidence of chronic infection (i.e. hepatitis B surface antigen positive [HBsAg+], hepatitis B core antibody positive [HB core AB +], hepatitis B surface antibody negative [HBsAB-]) must be on anti-hepatitis B therapy throughout the study in order to be eligible; the exact hepatitis B therapy is at the discretion of the infection disease specialist or investigator; all patients diagnosed with hepatitis B must also meet the liver function test criteria listed above and have no evidence of cirrhosis; however, all patients who present with acute hepatitis B, or who show normal transaminases but are HBsAg+ and immunoglobulin M positive (IgM+) for hepatitis B core antigen, are ineligible\r\n* Hepatitis C: Subjects, who are hepatitis C antibody positive, with or without a positive hepatitis C ribonucleic acid (RNA) level, must meet the liver function test criteria listed above and have no evidence of cirrhosis; patients diagnosed with hepatitis C less than 6 months before enrollment will be considered to have acute hepatitis C and will be ineligible unless the hepatitis C viral load is undetectable Patient has documented evidence of negative tests for the presence of hepatitis B surface antigen, hepatitis C antibody, and human immunodeficiency virus (HIV)1/2 antibodies within the three months preceding study entry; subjects who do not have such evidence must undergo appropriate testing prior to virus administration; HIV-positive patients are ineligible Positive blood screen for hepatitis C antibody, hepatitis B surface antigen, or Human Immunodeficiency Virus (HIV) -1, -2 antibody Known hepatitis B surface antigen and/or positive hepatitis C antibody and presence of hepatitis C RNA. For patients with hepatocellular carcinoma secondary to hepatitis B or C, test results should be indicative of chronic viral hepatitis infection:\r\n* Patients with hepatitis B\r\n** Antibodies: Hepatitis B surface antigen (HepBsAg) and hepatitis B core antibody (HepBcAb) should be elevated and hepatitis B surface antibody (HepBsAb) and hepatitis Be antibody (HepBeAb) low, indicating chronic infection; if the pattern is different from this, please notify the PI\r\n** Viral load: COBAS TaqMan test measuring hepatitis B virus (HBV) DNA is reduced in chronic phase hepatitis B; the baseline value as the patient enters this study will be useful to discriminate between drug, disease progression, or increased viral load as possible attributions for worsening symptoms\r\n* Patients with hepatitis C\r\n** Antibodies: Anti-hepatitis C virus (HCV) testing-specific tests used will be based on the site’s standard procedure for identifying hepatitis C\r\n** Viral load: HCV-RNA should be relatively constant in chronic phase of disease, though the level is typically higher than in the acute phase; the baseline value as the patient enters this study will be useful to discriminate between drug, disease progression, or increased viral load as possible attributions for worsening symptoms Positive for human immunodeficiency virus, hepatitis B surface antigen, or hepatitis C antibodies Patient has a positive test for Hepatitis B surface antigen, Hepatitis C antibody, human immunodeficiency virus (HIV)-1, or HIV-2 antibody, or has a history of a positive result. Patient has a positive test for Hepatitis B surface antigen, Hepatitis C antibody, HIV-1, or HIV-2 antibody, or has a history of a positive result. Presence of positive test results for hepatitis B surface antigen or hepatitis C virus (HCV) antibody Known hepatic cirrhosis, hepatitis B surface antigen-positive status, or suspected active hepatitis C infection. Note: Participants who have isolated positive hepatitis B core antibody (that is, in the setting of negative hepatitis B surface antigen and negative hepatitis B surface antibody) must have an undetectable hepatitis B viral load. Known human immunodeficiency virus (HIV) seropositive, hepatitis C infection, and/or hepatitis B (except for patients with hepatitis B surface antigen [SAg] or core antibody receiving and responding to antiviral therapy directed at hepatitis B: these patients are allowed) Hepatitis B or C seropositivity (except for hepatitis B with negative surface antigen and hepatitis B viral load) Actively infected with or chronic carriers of hepatitis B virus as demonstrated by positive hepatitis B core antibody or hepatitis B surface antigen. (Patients who are seropositive only, i.e. surface antibody positive [HbsAb], are permitted) Seropositive for HIV antibodies (HIV1 and HIV2), Hepatitis C antibody (Hep C Ab) or a Hepatitis B carrier (positive for Hepatitis B surface antigen [HBsAg]). Patients with known human immunodeficiency virus (HIV), hepatitis B or hepatitis C (active or carriers) are not eligible; this includes all patients with a positive hepatitis C antibody, hepatitis B surface antigen, or hepatitis B core antibody; previously vaccinated patients with positive hepatitis B surface antibody are eligible No history of human immunodeficiency virus (HIV), active or chronic hepatitis B, hepatitis C or human T-cell lymphotropic virus (HTLV-I) infection; NOTE: a positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion Known human immunodeficiency (HIV) seropositive, hepatitis C infection, and/or hepatitis B (except for patients with hepatitis B surface antigen [SAg] or core antibody receiving and responding to antiviral therapy directed at hepatitis B: these patients are allowed). Positive blood screen for hepatitis A IgM, hepatitis C antibody, hepatitis B surface antigen, or HIV-1, -2 antibody Documented human immunodeficiency virus (HIV), active or chronic hepatitis B, hepatitis C or human T-lymphotropic virus (HTLV)-I infection\r\n* A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis C antibody [HBcAb] negative), or a fully resolved acute hepatitis B virus (HBV) infection is not an exclusion criterion\r\n* Positive hepatitis C serology is an exclusion criterion Known positive HIV, Hepatitis B surface antigen or Hepatitis C antibody. History of infection with the hepatitis B and/or C viruses or positive hepatitis B virus surface antigen and hepatitis C virus antibody Known positivity for hepatitis B surface antigen (sAg), hepatitis C antibody, or human immunodeficiency virus (HIV) antibody Current or chronic hepatitis B or hepatitis C infection (as detected by positive testing for Hepatitis B surface Antigen [Hbs Ag] or antibody to Hepatitis C virus [anti HCV] respectively); patients must be tested for Hepatitis B surface antigen and anti-HCV =< 21 days prior to registration Active hepatitis B infection as demonstrated by test for hepatitis B surface antigen. Subjects who are hepatitis B surface antigen negative but are hepatitis B core antibody positive must have undetectable hepatitis B DNA and receive prophylaxis against viral reactivation. Chronic hepatitis B or C infection (e.g. hepatitis B surface antigen [Ag] positive or detectable viral load for hepatitis B or C); patients with prior evidence of hepatitis B or C without active infection are eligible Has known seropositivity for HIV or hepatitis C antibody, or known to be hepatitis B surface antigen positive (testing for these serologic markers is not required for enrollment in this protocol) Known active hepatitis B or C; patients must have a negative test for hepatitis B surface antigen, hepatitis B core antibody and hepatitis C antibody within 4 weeks prior to starting study drug Evidence of any active uncontrolled infection (bacterial, viral or fungal) or evidence of natural exposure to hepatitis B, hepatitis C or human immunodeficiency virus (HIV); evidence of hepatitis B exposure includes the presence of hepatitis B surface antigenemia, a positive serological test for hepatitis B core antibody or nucleic acid testing (NAT testing) that is positive for hepatitis B; vaccination to hepatitis B is not an exclusion criteria; testing done in the pre-transplant setting is sufficient to rule out infection Human immunodeficiency virus (HIV), hepatitis B (hepatitis B core antibody [HBcAb] positive but hepatitis B surface antigen [HBsAg] negative with undetectable viral load are eligible), or hepatitis C infection Seropositive for human immunodeficiency virus (HIV), Hepatitis B surface antigen or Hepatitis C antibody positive (except if HCV-RNA negative), or history of active chronic hepatitis B or C Active HIV, HBV, HCV or HTLV 1/2 infection (due to increased risk of complications during lymphodepleting regimen and confounding effects on the immune system). Active hepatitis B or C infection is defined by seropositive for hepatitis B surface antigen (HbSAg) or hepatitis C antibody. Tested positive for hepatitis B or C serological markers (hepatitis B surface antigen or antibodies to hepatitis C virus) or human immunodeficiency virus. History of any chronic hepatitis including alcoholic, non-alcoholic steatohepatitis (NASH), drug related, autoimmune, chronic viral positive tests for hepatitis B virus surface antigen (HBsAg), hepatitis B core antibody (anti-HBc) in the absence of hepatitis B surface antibody (anti-HBs), or a positive hepatitis C (HCV) viral load; these patients are excluded Positive test for human immunodeficiency virus (HIV) -I or -II antibodies, hepatitis B surface antigen (HBsAg), hepatitis B core antibody (HBcAb), or hepatitis C virus (HCV) antibody (unless HCV viral load test by PCR is negative). HBcAb positivity will be allowed if one or more of the following is true: a) HBsAb is present; b) hepatitis B DNA testing is negative and the patient is receiving hepatitis B reactivation prophylaxis with entecavir, tenofovir, or lamivudine Current treatment with anti-viral therapy for hepatitis B virus (HBV) Patients with hepatitis B virus (HBV) infection are eligible provided they meet the other eligibility criteria and:\r\n* There is no evidence of hepatic damage related to HBV infection\r\n* They have had consistently suppressed HBV viral load to undetectable levels by polymerase chain reaction (PCR) for a minimum of 12 months Negative total hepatitis B core antibody (HBcAb) test at screening, or positive HBcAb test followed by a negative hepatitis B virus (HBV) DNA test at screening. The HBV DNA test will be performed only for patients who have a positive HBcAb test. Subjects with positive HBV core antibody or surface antigen are eligible as long as they have an undetectable HBV DNA PCR, and receive concurrent antiviral therapy with entecavir, tenofovir, or lamivudine, and continued for a minimum of 6 months after completion of therapy. Negative hepatitis B surface antigen (HBsAg) and undetectable hepatitis B virus (HBV) DNA HBV surface antigen (HBsAg) negative, HBV surface ant ibody (ant i-HBs) posit ive and/or HBV core antibody (ant i-HBc) positive, and detectable viral DNA Subjects who are seropositive because of prior HBV vaccination are eligible (anti- HBs positive, anti-HBc negative, and HBsAg negative). Active hepatitis B virus (HBV) infection, defined as having a positive hepatitis B surface antigen (HBsAg) test at screening. Patients with a past or resolved HBV infection, defined as having a negative HBsAg test and a positive total hepatitis B core antibody (HBcAb) test at screening, are eligible for the study if active HBV infection is ruled out on the basis of HBV DNA viral load per local guidelines. Obtained within 14 days prior to C1D1: Hepatitis B virus (HBV) surface antigen negative Obtained within 14 days prior to C1D1: HBV surface antibody positive or negative Obtained within 14 days prior to C1D1: HBV core antibody negative\r\n* Subjects whose HBV core antibody is positive must have a negative HBV viral load measurement Obtained within 14 days prior to C1D1: HBV viral load negative Suppression of hepatitis B (HBV) (=< 100 IU/mL by HBV polymerase chain reaction [PCR]) with antivirals per the local standard of care if prior or current HBV exposure or infection If active hepatitis B virus (HBV), viral load must be < 100 IU/mL; if active HBV, subjects must be on anti-viral medication for >= 3 months prior to study registration and remain on the same anti-viral regimen throughout study treatment; NOTE: those subjects who are positive for hepatitis B core antibody (anti-HBc), negative for hepatitis B surface antigen (HBsAg) and negative for hepatitis B surface antibody (anti-HBs), and have an HBV viral load < 100 IU/mL do not require HBV anti-viral prophylaxis Known active hepatitis B (hepatitis B virus [HBV]) or hepatitis C (hepatitis C virus [HCV]) infection; patients who are positive only for HBV surface antibody as a result of prior vaccination are eligible; patients with a positive HBV core antibody but undetectable HBV viral load are eligible Seropositive for or active viral infection with hepatitis B virus (HBV):\r\n* Hepatitis B surface antigen (HBsAg) positive\r\n* HBsAg negative, anti-hepatitis B surface antibody (HBs) positive and/or anti-hepatitis B core antibody (HBc) positive and detectable viral deoxyribonucleic acid (DNA)\r\nNotes:\r\n* Subjects who are HBsAg negative, anti-HBs positive, and/or anti-HBc positive, but viral DNA negative are eligible\r\n* Subjects who are seropositive because of HBV vaccination are eligible (HBV surface antibody positive, HBV core antibody negative, and HBV surface antigen negative) Active human immunodeficiency virus (HIV) infection or infectious hepatitis, type B or C.\r\n* Patients with a past or resolved hepatitis B virus (HBV) infection (defined as the presence of hepatitis B core antibody [anti-HBc] and absence of hepatitis B surface antigen [HBsAg]) may be included if HBV deoxyribonucleic acid (DNA) is undetectable. If enrolled, patients must be willing to undergo monthly HBV DNA testing.\r\n* HIV positive patients may enroll if they meet all of the below criteria:\r\n** HIV is sensitive to antiretroviral therapy.\r\n** Must be willing to take effective antiretroviral therapy if indicated.\r\n** No history of CD4 prior to or at the time of lymphoma diagnosis < 300 cells/mm^3.\r\n** No history of acquired immunodeficiency syndrome (AIDS)-defining conditions.\r\n** If on antiretroviral therapy, must not be taking zidovudine or stavudine.\r\n** Must be willing to take prophylaxis for pneumocystis jiroveci pneumonia (PCP) during therapy and until at least 2 months following the completion of therapy or until the CD4 cells recover to over 250 cells/mm^3, whichever occurs later. If HBV surface antigen (sAg) and/or core antibody (Ab) positive, must be treated with appropriate antiviral therapy according to institutional practice with HBV deoxyribonucleic acid (DNA) by polymerase chain reaction (PCR) less than 500 IU/mL Participant is known to be positive for hepatitis B or C infection [HCV Ab indicative of a previous or current infection; and/or positive HBs Ag or detected sensitivity on HBV DNA PCR test for HBc Ab and/or HBs Ab positivity] with the exception of those with an undetectable viral load within 3 months screening. Hepatitis B or C testing is not required. Negative total hepatitis B core antibody (HBcAb) test at screening, or positive HBcAb test followed by a negative hepatitis B virus (HBV) DNA test at screening The HBV DNA test will be performed only for patients who have a positive HBcAb test Current treatment with anti-viral therapy for HBV. Current treatment with anti-viral therapy for hepatitis B virus (HBV) Antiviral therapy per local standard of care with hepatitis B virus (HBV) deoxyribonucleic acid (DNA) < 100 IU/ml if active hepatitis B (HBV) infection Known active hepatitis B or hepatitis C virus (HBV or HCV):\r\n* Patients with past or resolved HBV infection (defined by a negative hepatitis B surface antigen [HBsAg] test and a positive anti-hepatitis B core antigen [anti-HBc] antibody test) are eligible; HBV DNA must be obtained in these patients prior to first day of study treatment\r\n*Patients who have been recently discovered to have HBV with positive HBsAg test and positive anti-HBc antibody test but who have been started on antiretroviral treatment with non-detectable HBV DNA are eligible; HBV DNA must be obtained in these patients prior to first day of study treatment Has known chronic or acute hepatitis B (e.g., hepatitis B surface antigen [HBsAg] reactive) or hepatitis C infection (e.g., hepatitis C virus [HCV] ribonucleic acid [RNA] [qualitative] is detected)\r\n* Note: To qualify for enrollment, antiviral therapy for hepatitis B virus (HBV) must be given for at least 3 months, and HBV viral load must be less than 100 IU/mL prior to first dose of stud drug; those on active HBV therapy with viral loads under 100 IU/mL should stay on the same therapy throughout trial treatment; those subjects who are hepatitis B virus core antibody (anti-HBc) (+), and negative for HBsAg, and negative for hepatitis B virus surface antibody (anti-HBs), and have an HBV viral load under 100 IU/mL do not require HBV anti-viral prophylaxis, but need close monitoring Known hepatitis B virus (HBV) surface antigen seropositive or detectable hepatitis C virus (HCV) infection viral load. Note: Participants who have positive HBV core antibody or HBV surface antigen antibody can be enrolled but must have an undetectable HBV viral load. Participants with dual active hepatitis B virus (HBV) infection (hepatitis B surface antigen [HBsAg] positive [+] and /or detectable HBV deoxyribonucleic acid [DNA]) and, hepatitis C virus (HCV) infection (anti-HCV antibody [Ab] [+] and detectable HCV ribonucleic acid [RNA]) at study entry\r\n* Subjects with chronic infection by HCV who are treated with anti-hepatitis B therapy (successfully or treatment failure) or untreated are allowed on study; controlled (treated) hepatitis B subjects will be allowed if they meet the following criteria:\r\n** Antiviral therapy for HBV must be given for at least 12 weeks and HBV viral load must be less than 100 IU/mL prior to first dose of study drug; subjects on active HBV therapy with viral loads under 100 IU/ml should stay on the same therapy throughout study\r\ntreatment\r\n** Subjects who are anti-HBc (+), negative for HBsAg, negative for anti-HBs, and have a HBV viral load under 100 IU/mL do not require HBV anti-viral prophylaxis\r\n* In addition, subjects with successful HCV treatment are allowed as long as there are >= 4 weeks between achieving sustained viral response (SVR) and start of study drug Patients with hepatitis B virus (HBV) viral load > 100 IU/mL (antiviral therapy per local practice is required) Active hepatitis B infection (defined as the presence of detectable hepatitis B virus [HBV] deoxyribonucleic acid [DNA] or hemoglobin E [HBe] antigen). Patients who are hepatitis B surface antigen (HBsAg) negative/hepatitis B surface antibody (HBsAb) positive but hepatitis B core antibody (HBcAb) positive are eligible, provided HBV DNA is negative. These patients must have monthly monitoring of HBV DNA for the duration of the study Subjects with chronic infection by HCV who are treated or untreated are allowed on study; subjects with a past or resolved HBV infection, defined as having a negative HBsAg test and a positive total hepatitis B core antibody (HBcAb) test and negative HBV deoxyribonucleic acid (DNA) test at screening, are eligible for the study; in addition, subjects with successful treatment (defined as sustained virologic response [SVR12] or SVR24) are allowed as long as 4 weeks have passed between completion of HCV therapy and start of study drug Has untreated active hepatitis B; Note: to qualify for enrollment, antiviral therapy for HBV must be given for at least 3 months prior to first dose of study drug, and HBV viral load must be less than 100 IU/mL prior to first dose of study drug; those on active HBV therapy with viral loads under 100 IU/mL should stay on the same therapy throughout study treatment; those subjects who are anti-HBc (+) and negative for HBsAg, Anti-HBs, and HBV viral load do not require HBV prophylaxis, but need close monitoring for reactivation Patients with chronic hepatitis B are eligible as long as they have evidence of ongoing viral replication (detectable hepatitis B surface antigen [HBsAg], hepatitis B envelope antigen [HBeAg], or hepatitis B virus [HBV] deoxyribonucleic acid [DNA]); they must have HBV DNA viral load < 100 IU/mL at screening; in addition, they must be on antiviral therapy per regional standard of care guidelines prior to initiation of study therapy; if not on antiviral therapy at screening, then the subject must initiate treatment per regional standard of care guidelines at the time of consent; both HBeAg positive and negative patients will be included PRIOR TO LYMPHODEPLETION: Patients who are hepatitis B surface antigen positive are ineligible; patients who are hepatitis B surface antigen negative but hepatitis B core antibody positive must have their hepatitis B viral load checked; these subjects will be excluded if their viral load is positive; subjects who are core antibody positive and viral load negative will be considered eligible; subjects who are hepatitis B virus (HBV) core antibody positive and HBV viral load negative prior to lymphodepletion must have initiated anti-HBV prophylaxis prior to lymphodepletion Hepatitis B virus (HBV) surface-antigen positive unless receiving both tenofovir and lamivudine as part of antiretroviral therapy if HIV-infected Evidence of active acute or chronic hepatitis B (HBV); subjects with acute or chronic active HBV will be defined based on Centers for Disease Control and Prevention (CDC) guidelines; this will include subjects with positive serology for hepatitis B surface antigen (HBsAg) or hepatitis B core antibody (anti-HBc) associated with HBV-deoxyribonucleic acid (DNA) positive test by real time quantitative polymerase chain reaction (qPCR) assessment; subjects, who are anti-HBc positive and HBsAg negative or HBV-DNA test negative, may be enrolled in the study and should undergo regular monitoring of HBV viral load using HBV-DNA qPCR; those subjects may be referred to a hepatologist or gastroenterologist for appropriate monitoring and management including antiviral therapy Specific guidelines will be followed regarding inclusion of relapsed/refractory DLBCL based on hepatitis B serological testing as follows:\r\n* Hepatitis B surface antigen (HBsAg) negative, hepatitis B core antibody (HBcAb) negative, hepatitis B surface antibody (HBsAb) positive patients are eligible\r\n* Patients who test positive for HBsAg are ineligible (regardless of other hepatitis B serologies)\r\n* Patients with HBsAg negative, but HBcAb positive (regardless of HBsAb status) should have a hepatitis B virus (HBV) deoxyribonucleic acid (DNA) testing done and protocol eligibility determined as follows:\r\n** If HBV DNA is positive, the subject will be excluded from the study\r\n** If HBV DNA is negative, the subject may be included but must undergo at least every 2 months HBV DNA polymerase chain reaction (PCR) testing from the start of treatment throughout the duration the treatment course DONOR: Evidence of active infection (including urinary tract infection, or upper respiratory tract infection), viral hepatitis exposure (on screening), unless only hepatitis B surface antibody (HBsAb)+ and hepatitis B virus (HBV) deoxyribonucleic acid (DNA) negative, or serologic of exposure or infection with HIV-I/II or HTLV-I/II Negative serologies for hepatitis B (HB) defined as a negative test for HB surface antigen (sAg); in addition, if negative for HBsAg but HB core antibody (cAb) positive (regardless of HBsAb status), a HB deoxyribonucleic acid (DNA) test will be performed and if negative, patient may be included but must undergo hepatitis B virus (HBV) DNA polymerase chain reaction (PCR) testing at the beginning of treatment and throughout treatment duration, at least every 2 months; in addition patients will require treatment with Entecavir 0.5 mg orally (PO) a day (qday) per Memorial Sloan Kettering Cancer Center (MSKCC) institutional guidelines Patients with known active hepatitis B virus (HBV) infection should be excluded; however, if a patient has HBV history with an undetectable HBV load by polymerase chain reaction (PCR), no liver-related complications, and is on definitive HBV therapy, then he/she would be eligible for study Patients with positive serology for hepatitis B (HB), defined as a positive test for HB surface antigen (HBsAg), are NOT eligible; if negative for HBsAg but HB core antibody (HBcAb) positive a HB deoxyribonucleic acid (DNA) test will be performed; if HB DNA test is positive the patient is NOT eligible; NOTE: patients who are positive for HBcAb but negative for hepatitis B virus (HBV) antigenemia and viremia (HBsAg negative and HB DNA test negative) may be eligible for the study, but should be referred to hepatology for consultation and must be started on HBV suppression therapy with lamivudine or equivalent anti-HBV agents throughout the treatment and for a year after the completion of the treatments; these patients need to have liver function tests (LFTs) and HBV viral titer monitoring at least monthly during the treatment and for a year after treatment completion Hepatitis B virus (HBV): negative hepatitis B surface antigen (HBsAg) and negative hepatitis B core (HBc) antibody or positive HBc and negative HBV deoxyribonucleic acid (DNA) by quantitative PCR Patients must have no evidence of active hepatitis B or C infection (i.e., no positive serology for anti-hepatitis B core [HBc] or anti-hepatitis C virus [HCV] antibodies); hepatitis B virus (HBV) seropositive patients (hepatitis B surface antigen [HBsAg] +) are eligible if HBV deoxyribonucleic acid (DNA) is undetectable at baseline and they are closely monitored for evidence of active HBV infection by HBV DNA testing at each treatment cycle; after completing treatment, HBsAg + patients must be monitored by HBV DNA testing every 2 months for 6 months post-treatment, while continuing lamivudine Uncontrolled hepatitis B virus (HBV) infection, defined as plasma HBV DNA detectable by polymerase chain reaction (PCR)\r\n* Note: the following will NOT be exclusionary:\r\n** A positive hepatitis B serology indicative of previous immunization (i.e., hepatitis B surface antibody [HBsAb] positive and hepatitis B core antibody [HBcAb] negative), or a fully resolved acute HBV infection\r\n** Patients with chronic HBV suppressed by appropriate antiretroviral therapy with activity against HBV, as outlined in DHHS guidelines Subject has HBV DNA viral load undetectable or < 100 IU/mL at screening. If subject has detectable HBsAg, HBeAg, or HBV DNA (indicating ongoing viral replication of hepatitis B, he/she must be on antiviral therapy per regional standard of care guidelines prior to initiation of study therapy. If not on antiviral therapy at screening, then the subject must initiate treatment per regional standard of care guidelines prior to C1D1 and must be willing to continue antiviral therapy while on study treatment. HBsAg negative, anti-HBs positive and/or anti-HBc positive and detectable viral DNA Subjects who are HBsAg negative, anti-HBs positive, and/or anti-HBc positive, but viral DNA negative are not eligible Subjects who are seropositive because of HBV vaccination are eligible (HBV surface antibody positive, HBV core antibody negative, and HBV surface antigen negative) Except in cohort 3, HPV-associated cancers, active hepatitis B virus (HBV) infection (chronic or acute), defined as having a positive hepatitis B surface antigen (HBsAg) test at screening; patients with a past or resolved HBV infection, defined as having a negative HBsAg test and a positive total hepatitis B core antibody (HBcAb) test and negative HBV deoxyribonucleic acid (DNA) test at screening, are eligible for the study Subject who is seropositive for or active viral infection with hepatitis B virus (HBV) (hepatitis B surface antigen [HBsAg] positive and/or detectable viral DNA) HBV viral load (VL) <200 IU/mL (approximately 1000 cps/mL) Subjects with active HBV infection need to be on anti-HBV suppression ?3 months, throughout treatment and for 6 months after Patients must be screened for HBV. Patients who are either HBsAg positive or HBV-DNA positive must be willing and able to take antiviral therapy 1-2 weeks prior to 1st dose of EGF816 treatment and continue on antiviral therapy for at least 4 weeks after the last dose of EGF816. Known to be positive for hepatitis B surface antigen or hepatitis B core antibody; if hepatitis B (HBV) deoxyribonucleic acid (DNA) test is known to be negative, patients seropositive for HBV core antibody (and seronegative for HBV surface antigen) are eligible; NOTE: Does NOT need to be repeated if pre-transplant screening test was negative Specific guidelines will be followed regarding inclusion of relapsed/refractory DLBCL based on hepatitis B serological testing as follow:\r\n* Hepatitis B surface antigen (HBsAg) negative, hepatitis B virus core antibody (HBcAb) negative, hepatitis B virus surface antibody (HBsAb) negative patients are eligible\r\n* HBsAg negative, HBcAb negative, HBsAb positive patients are eligible\r\n* Patients who test positive for HBsAg are ineligible\r\n* Patients with HBsAg negative, but HBcAb positive (regardless of HBsAb status) should have a hepatitis B virus (HBV) deoxyribonucleic acid (DNA) testing performed and protocol eligibility determined as follow:\r\n** If HBV DNA is positive, the subject is ineligible\r\n** If HBV DNA is negative, the subject may be included but must undergo HBV DNA polymerase chain reaction (PCR) testing monthly x 3 months beginning from the start of treatment Evidence of active acute or chronic hepatitis B (hepatitis B virus [HBV]): subjects with acute or chronic active HBV will be defined based on Centers for Disease Control and Prevention (CDC) guidelines; this will include subjects with positive serology for hepatitis B surface antigen (HBsAg) or hepatitis B core antibody (anti-HBc) associated with HBV-deoxyribonucleic acid (DNA) positive test by real time quantitative polymerase chain reaction (qPCR) assessment; subjects, who are anti-HBc positive and HBsAg negative or HBV-DNA test negative, may be enrolled in the study and should undergo regular monitoring of HBV viral load using HBV-DNA qPCR; those subjects may be referred to a hepatologist or gastroenterologist for appropriate monitoring and management including antiviral therapy Positive serology for hepatitis B (HB) defined as a positive test for HB surface antigen (HBsAg); in addition, if negative for HBsAg but HB core antibody (HBcAb) positive (regardless of HB surface antibody [HBsAb] status), a HB deoxyribonucleic acid (DNA) test will be performed and if positive the subject will be excluded\r\n* If HB virus (HBV) DNA is negative, subject may be included but must undergo HBV DNA polymerase chain reaction (PCR) testing at least every 2 months from the start of treatment until 12 months post treatment; prophylactic antiviral therapy may be initiated at the discretion of the investigator Positive anti-hepatitis B virus (HBV); HBV seropositive patients (hepatitis B surface antigen [HBsAg] positive) are eligible if they are closely monitored for evidence of active HBV infection by HBV deoxyribonucleic acid (DNA) testing, and they must agree to receive suppressive therapy with lamivudine or other HBV-suppressive therapy until at least 4 weeks after the last dose of everolimus; patients who are anti-hepatitis C virus (HCV) positive are eligible provided that hepatitis C viral load (hepatitis C ribonucleic acid [RNA]) is undetectable Positive serology for hepatitis B (HB) defined as a positive test for hepatitis B virus surface antigen (HBsAg); in addition, if negative for HBsAg but hepatitis B core antibody (HBcAb) positive (regardless of hepatitis B surface antibody [HBsAb] status), a HB deoxyribonucleic acid (DNA) test will be performed and if positive the subject will be excluded; HBsAg negative, HBsAb negative, HBsAb positive subjects can be included\r\n* Consult with a physician experienced in care & management of subjects with hepatitis B to manage/treat subjects who are anti-HBc positive\r\n* Monitoring criteria for HBcAb+ and HBV DNA negative subjects:\r\n** If HBV DNA is negative, subject may be included but must undergo at least every 2 month HBV DNA polymerase chain reaction (PCR) testing from the start of treatment during the treatment course\r\n** Monitoring during the follow-up period will be performed during routine study visits for a minimum follow-up period of six months after the last dose, as long as the subject remains on study; monitoring frequency during follow-up should occur at a minimum of every 2-3 months; whenever possible, the monitoring should occur as part of the routine follow-up visit (Note: for most studies, the follow-up visits are 1 month post-dose, 3 months post-dose and 6 months post-dose\r\n** Prophylactic antiviral therapy may be initiated at the discretion of the investigator HAPLO-IDENTICAL DONOR: Evidence of active infection (including active urinary tract infection, or upper respiratory tract infection) or evidence of viral hepatitis exposure on screening unless only hepatitis B surface antibody (HbsAB)+ and hepatitis B virus (HBV) deoxyribonucleic acid (DNA) negative Clinically active hepatitis B defined as positive hepatitis B surface antigen (HBsAg); or positive hepatitis B core antibody (HBcAb) with detectable hepatitis B virus (HBV) deoxyribonucleic acid (DNA) viral load; patients who are HBcAb with undetectable HBV DNA viremia are eligible DONOR: Evidence of active infection (including urinary tract infection, or upper respiratory tract infection) or viral hepatitis exposure (on screening), unless only hepatitis B surface antibody positive (Hbs Ab+) and hepatitis B virus (HBV) deoxyribonucleic acid (DNA) negative Positive serology for hepatitis B (HB) defined as a positive test for hepatitis B surface antigen (HBsAg) and a detectable hepatitis B virus (HBV) deoxyribonucleic acid (DNA) viral load; if negative for HBsAg but hepatitis B core antibody (HBcAb) positive (regardless of hepatitis B surface antibody [HBsAb] status), a HBV DNA test will be performed and if positive the subject will be excluded; if HBV DNA is negative, subject may be included but must undergo at least every 2-month HBV DNA polymerase chain reaction (PCR) testing from the start of treatment during the treatment course; prophylactic antiviral therapy may be initiated at the discretion of the investigator Specific guidelines will be followed regarding inclusion of MCL based on hepatitis B serological testing as follows:\r\n* Hepatitis B surface antigen (HBsAg) negative, hepatitis B core antibody (HBcAb) negative, hepatitis B surface antibody (HBsAb) positive MCL patients are eligible\r\n* Patients who test positive for HBsAg are ineligible (regardless of other hepatitis B serologies)\r\n* For MCL patients with HBsAg negative, but HBcAb positive (regardless of HBsAb status), should have hepatitis B virus (HBV) deoxyribonucleic acid (DNA) testing done and protocol eligibility determined as follows:\r\n** If HBV DNA is positive the subject is excluded\r\n** If HBV DNA is negative, patient may be included but must undergo at least every 2 months HBV DNA polymerase chain reaction (PCR) testing from the start of treatment throughout the duration the study\r\n** Monitoring during the study is required at least every 2 months and during follow-up at a minimum of every 2-3 months up to 6 months after the last dose\r\n** Prophylactic antiviral therapy with lamivudine (3TC) or investigator’s preferred antiviral regimen throughout protocol therapy and for 6-12 months thereafter may be initiated at the discretion of the investigator\r\n** If the patients’ HBV DNA becomes positive during the study, the investigator should manage the clinical situation as per the standard of care of participating institution; the investigator should weigh the risks and benefits of continuing ofatumumab or discontinuing ofatumumab before appropriate treatment decisions are made for that individual patient Participants with chronic hepatitis B or seropositive occult (HBV) infection Participants with seronegative occult HBV infection or past HBV infection (defined as anti-HBc positive and HBV DNA negative) could be eligible if they were willing to be followed according to the protocol for HBV DNA testing Chronic or active hepatitis B or C (patients positive for HBsAg or HBcAb will be eligible if they are negative for HBV-DNA; patients positive for HCVAb will be eligible if negative for HCV-RNA) Known seropositivity for or history of active viral infection with human immunodeficiency virus (HIV), or hepatitis B or C virus (HBV, HCV). a. Hepatitis B screening is mandatory for all patients (HBsAg and anti-HBc). Patients with active hepatitis B disease should not be treated with obinutuzumab. Patients should be referred to a specialist if they are carriers before treatment starts (see PI or SmPC). Subjects who are positive for anti-HBc and/or anti-HBs but negative for HBsAg and HBV DNA may be treated after consultation with a hepatologist. Participants with occult or prior hepatitis B virus (HBV) infection may be included if HBV deoxyribonucleic acid (DNA) is undetectable at screening. These participants must be willing to undergo monthly HBV DNA test until at least 12 months after the last treatment cycle History of chronic hepatitis B virus (HBV) infection or positive test results for active or chronic HBV infection defined by hepatitis B surface antigen (HBsAg) Active hepatitis B virus (HBV) defined by positive hepatitis B surface antigen (HBsAg) test at screening; patients with past or resolved HBV infection (defined by a negative HBsAg test and a positive anti-hepatitis B core antigen [anti-HBc] antibody test) are eligible; HBV deoxyribonucleic acid (DNA) must be obtained in these patients prior to first day of study treatment Current treatment with anti-viral therapy for Hepatitis B Virus (HBV) subjects with anti-hepatitis B core antibody but with undetectable HBV DNA and negative for HBsAg