On tracial $\mathcal{Z}$-stability of simple non-unital C*-algebras

Abstract

We investigate the notion of tracial $\mathcal{Z}$-stability beyond unital C*-algebras, and we prove that this notion is equivalent to $\mathcal{Z}$-stability in the class of separable simple nuclear C*-algebras.

Canad. J. Math., to appear. Accepted version