The subject is human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive patients Human Immunodeficiency Virus (HIV) positive Recipients of organs from human immunodeficiency virus (HIV) or HBsAg positive donors. Human immunodeficiency virus (HIV) positive at time of procurement cells for CTL generation Positive for human immunodeficiency virus (HIV) Human immunodeficiency virus (HIV)-positive Human immunodeficiency virus (HIV)-positive patients are NOT excluded from the study Patients who are human immunodeficiency virus positive (HIV+) Subjects who have tested positive for human immunodeficiency virus (HIV) Patients who are positive for human immunodeficiency virus (HIV) DONOR: Human immunodeficiency virus (HIV) positive Severely compromised immunological state, including being positive for the human immunodeficiency virus (HIV) Positive human immunodeficiency virus (HIV) antibody at Screening Human immunodeficiency virus (HIV) positive subjects are excluded Human immunodeficiency virus (HIV) positive patients Human immunodeficiency virus (HIV)-positive patients are ineligible Human immunodeficiency virus (HIV)-positive patients may be considered for this study only after consultation with a National Institute of Allergy and Infectious Diseases (NIAID) physician Human immunodeficiency virus (HIV) positive Positive serology for human immunodeficiency virus (HIV) Human immunodeficiency virus (HIV) positive Is human immunodeficiency virus (HIV) positive Know to be human immunodeficiency virus (HIV) positive Patients can be human immunodeficiency virus (HIV) positive or negative Human immunodeficiency virus (HIV) positive Positive serology for human immunodeficiency virus (HIV) Not be in an immunosuppressed state (e.g. human immunodeficiency virus positive [HIV +], use of chronic steroids [> month]) Human immunodeficiency virus (HIV) positive patients are ineligible HIV (human immunodeficiency virus-) or HIV positive DONOR: Human immunodeficiency virus (HIV) positive HIV (human immunodeficiency virus-) or HIV positive Human immunodeficiency virus (HIV)-positive patients Human immunodeficiency virus (HIV)-positive Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive patients are excluded Positive human immunodeficiency virus antibody Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive patients are excluded from the study Patient who is human immunodeficiency virus (HIV)-positive Patient is human immunodeficiency virus (HIV)-positive nd BMT, human immunodeficiency virus (HIV)- positive Human immunodeficiency virus (HIV)-positive Positive human immunodeficiency virus (HIV) antibody at Screening Human immunodeficiency virus (HIV) infected patients (defined as HIV-/HIV- antibody positive). Positive serology for human immunodeficiency virus (HIV). Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive patients Positive for human immunodeficiency virus (HIV) Patients who are human immunodeficiency virus positive (HIV+) will be excluded Human immunodeficiency virus (HIV) positive patients will be excluded Human immunodeficiency virus (HIV)-positive patients Human immunodeficiency virus (HIV)-positive patients are excluded from this study Human immunodeficiency virus (HIV)-positive patients and those with other acquired/inherited immunodeficiency Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive subjects are excluded from the study Patients who are positive for human immunodeficiency virus (HIV) Human immunodeficiency virus (HIV)-positive Human immunodeficiency virus (HIV) positive patients Positive for Human Immunodeficiency Virus (HIV). Subjects positive for Human Immunodeficiency Virus (HIV) Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) negative or positive EXCLUSION CRITERIA FOR TRANSPLANT PHASE: Human immunodeficiency virus (HIV)-positive Human immunodeficiency virus (HIV) positive patients or hepatitis B or C positive patients Human immunodeficiency virus (HIV)-positive Human immunodeficiency virus (HIV)-positive patients Human immunodeficiency virus (HIV) positive patients Participant has tested positive for human immunodeficiency virus (HIV). Human Immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive patients are excluded Patients who are human immunodeficiency virus positive (HIV+) Human immunodeficiency virus (HIV)-positive patients or cancer survivors are eligible for this study if they fulfill all other eligibility criteria Patient must not have a history of positive human immunodeficiency virus (HIV) serology Subject has tested positive for human immunodeficiency virus (HIV). Human immunodeficiency virus (HIV)-positive patients are excluded Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive patients Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive serology or AIDS Human immunodeficiency virus (HIV) positive (highly immunosuppressive treatment) Patients who are human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive Positive human immunodeficiency virus (HIV) infection at screening Human immunodeficiency virus (HIV)-positive patients Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive patients are ineligible Positive for human immunodeficiency virus (HIV) infection Human immunodeficiency virus (HIV) positive patients will be excluded A history of human immunodeficiency virus (HIV) antibody positive or tests positive for HIV if tested at screening Human immunodeficiency virus (HIV) positive Human immunodeficiency virus (HIV)-positive patients are ineligible Human immunodeficiency virus (HIV) positive patients are not eligible Positive for presence of human immunodeficiency virus type or (HIV and HIV ). Patients who are human immunodeficiency virus (HIV)-positive are excluded from the study HIV (human immunodeficiency virus-) or HIV positive Human immunodeficiency virus (HIV)-positive participants are ineligible Be human immunodeficiency virus (HIV)-positive Human immunodeficiency virus (HIV)-positive participants are excluded Human immunodeficiency virus (HIV)-positive patients are ineligible