In addition to reducing the immune suppression, delaying T cell exhaustion, and increasing anti-tumor activity with the TRAC and PDCD-1 knockouts, knockouts of HLA-A/B and CIITA, which are subunits of MHCI and MHCII proteins, respectively, reduce the recognition of allogenic STAR-T cells as foreign, thereby reducing the risk of GvHD. Here, PDCD1 is linked to neoplasm.