We show that a QWEP von Neumann algebra has the weak* positive approximation property if and only it is seemingly injective in following sense: there factorization of identity M $$I{d_M} = vu:M\buildrel u \over \longrightarrow B(H)\buildrel v M$$ with normal, unital, completely contractive. As corollary, separable predual, isomorphic (as Banach space) to B(ℓ2). For instance this applies (rather...