论文标题

稳定统一财产伽玛

Stabilising uniform property Gamma

论文作者

Castillejos, Jorge, Evington, Samuel

论文摘要

我们引入了稳定的属性伽玛,这是属性伽马的C* - 代数变体,在稳定的同构下是不变的。然后,我们证明具有稳定财产伽玛和$ \ mathrm {cu}(a)\ cong \ mathrm {cu}(a \ otimes \ mathcal {z})$ jiang-su algebra algebra $ \ mathcal {z z} $ tensoriality。

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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