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arXiv · 2101.09881

Comparison properties of asymptotically tracially approximation C*-algebras

Qingzhai Fan·Xiaochun Fang
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Abstract

We show that the following properties of the C*-algebras in a class $\mathcal{P}$ are inherited by simple unital ${\rm C^*}$-algebras in the class of asymptotically tracially in $\mathcal{P}$: $(1)$ $\beta$-comparison (in the sense of Kirchberg and R{\o}rdam), $(2)$ $n$-comparison (in the sense of Winter).

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Qingzhai Fan, Xiaochun Fang. 2021-01-25. Comparison properties of asymptotically tracially approximation C*-algebras. https://arxiv.org/abs/2101.09881

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