On classification of non-unital amenable simple C*-algebras, III, Stably projectionless C*-algebras

Abstract

We show, based on previous results, that two separable simple stably projectionless amenable $\mathcal{Z}$-stable $C^{\ast }$-algebras which satisfy the UCT are isomorphic if and only if they have the same Elliott invariant.

This is the second part of the original paper arXiv:2010.01788 with title "On classification of non-unital amenable simple C*-algebras, III"