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arXiv · 2010.05792

Stabilising uniform property Gamma

Jorge Castillejos·Samuel Evington
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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.

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Jorge Castillejos, Samuel Evington. 2020-10-12. Stabilising uniform property Gamma. https://arxiv.org/abs/2010.05792

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