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 Cu(A)≅Cu(A⊗Z)\mathrm{Cu}(A) \cong \mathrm{Cu}(A \otimes \mathcal{Z}) absorb the Jiang-Su algebra Z\mathcal{Z} tensorially.

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