We prove a decomposition theorem similar to the well-known result of Voiculescu's:namely that completely positive maps A→M(B)/B factor through a given homomorphism l: A→M(B)/B when the homomorphism l has a certain infiniteness property.The algebra B is only assumed to be separable and nonunital; in particular,it is not assumed to be stable.The C~*-algebra A is assumed to be separable,unital and nuclear.
展开▼
