On OL∞ structure of nuclear, quasidiagonal C∗-algebras

We continue the study of OL∞ structure of nuclear C∗-algebras initiated by Junge, Ozawa and Ruan. In particular, we prove if OL∞(A)<1.005, then A has a separating family of irreducible, stably finite representations. As an application we give examples of nuclear, quasidiagonal C∗-algebras A with OL∞(A)>1.