Fludarabine Phosphate, Low-Dose Total Body Irradiation, and Donor Stem Cell Transplant in Treating Patients With Hematologic Malignancies or Kidney Cancer

PRIMARY OBJECTIVES: I. To determine whether stable allogeneic engraftment from unrelated hematopoietic stem cell donors can be safely established using a non-myeloablative conditioning regimen in patients with hematologic malignancies and renal cell carcinoma. SECONDARY OBJECTIVES: I. To evaluate whether donor lymphocyte infusion (DLI) can be safely used in patients with mixed or full donor chimerism to eliminate persistent or progressive disease. OUTLINE: CONDITIONING REGIMEN: Patients receive fludarabine phosphate intravenously (IV) on days -4 to -2. Patients also undergo low-dose total-body irradiation (TBI) on day 0. TRANSPLANTATION: Patients undergo allogeneic peripheral blood stem cell (PBSC) or bone marrow transplantation on day 0. IMMUNOSUPPRESSION: Patients receive cyclosporine orally (PO) twice daily (BID) on days -3 to 100 with taper to day 177 and mycophenolate mofetil PO BID on days 0-40 with taper to day 96. Patients with mixed chimerism, persistent or progressive disease, and no evidence of graft-versus-host disease and who have been off immunosuppression for at least 2 weeks undergo DLI over 30 minutes. DLI may be repeated every 65 days for up to 3 doses. After completion of study treatment, patients are follow-up periodically for 5 years.