A new approach to the similarity problem

We say that a C^*-algebra A satisfies the similarity property ((SP)) if every bounded homomorphism u A→ B(H), where H is a Hilbert space, is similar to a $*$-homomorphism. We introduce the following hypothesis { (EP).}\\ { (EP): Every separably acting von Neumann algebra with a cyclic vector is hyperreflexive.} \ prove that under { (EP)}, all C^*-algebras satisfy (SP).