Stabilising uniform property Gamma

Abstract

We introduce stabilised property Gamma, a C*-algebraic variant of property Gamma which is invariant under stable isomorphism. We then show that simple separable nuclear C*-algebras with stabilised property Gamma and $\mathrm{Cu}(A)\cong \mathrm{Cu}(A\otimes \mathcal{Z})$ absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially.

Proc. Amer. Math. Soc., to appear. Minor changes. Accepted version