Disclosed herein are chimeric antigen receptors (CAR) that can specifically recognize tumor-associated antigens (TAA) on multiple myelorna (MM) cells. Also disclosed are Mullane effector cells, such as T cells or Natural Killer (NK) cells, that are engineered to express these CARs. Therefore, also disclosed are methods of providing an anti-tumor immunity in a subject with MM that involves adoptive transfer of the disclosed immune effector cells engineered to express the disclosed CARs.
