 This study will begin with a dose of T cells known not to cause GvHD even in haploidentical recipients, even when the T cells administered have not first been allodepleted. A subset of patients who achieved engraftment will be included in the dose escalation study of allodepleted T-cells treated with RFT5-dgA. A continual reassessment method based on a logistic dose-response curve with cohorts of size 2 will be employed to determine the MTD. Cohorts of size 2 will be accrued beginning at dose level 1 and the dose-response curve is estimated after toxicity outcome is observed to determine the recommended dose level for the next patient cohort. Each and every patient will receive up to five additional injections of T cells at the same dose, at monthly intervals, provided there is no evidence of grade 2 or higher GVHD, until total T cell numbers are 1000ul 