The primary objective of the study is to determine whether patients who receive adjuvant autologous HSPPC-96 (treatment group) after surgical resection of locally advanced renal cell carcinoma have improved recurrence-free survival as compared to patients who are not receiving adjuvant treatment (observation group). Eligible patients will have a 50% chance of receiving adjuvant treatment with HSPPC-96. Patients in the treatment arm of the trial will receive the vaccine once a week for 4 weeks, and then every other week until vaccine depletion or disease recurrence. Both groups of patients will be followed regularly for assessment of their disease status.