I. To determine whether the incidence of life-threatening GVHD can be reduced after unrelated donor peripheral blood mononuclear cell (PBMC) hematopoietic cell transplantation (HCT) using nonmyeloablative conditioning with earlier discontinuation of cyclosporine (CSP) and extended administration of mycophenolate mofetil (MMF) in patients with hematologic malignancies and metastatic renal cell carcinoma.