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arXiv · 1902.03325

A tracially AF algebra which is not $\mathcal Z$-absorbing

Zhuang Niu·Qingyun Wang
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Abstract

We show that there is a simple separable unital (non-nuclear) tracially AF algebra $A$ which does not absorb the Jiang-Su algebra $\mathcal Z$ tensorially, i.e., $A \ncong A\otimes\mathcal Z$.

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Zhuang Niu, Qingyun Wang. 2019-02-08. A tracially AF algebra which is not $\mathcal Z$-absorbing. https://arxiv.org/abs/1902.03325

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