Blackadar–Kirchberg conjecture on quasidiagonality of stably finite nuclear algebras

Let $A$ be a $C^*$-algebra. Blackadar–Kirchberg conjecture. If $A$ is separable, stably finite and nuclear, then $A$ is quasidiagonal. This conjecture concerns the converse to the fact that every quasidiagonal $C^*$-algebra is stably finite. It is false in general.