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arXiv · 2309.08900

Certain properties of generalized tracially approximated C*-algebras

Qingzhai Fan·Jiahui Wang
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Abstract

We show that the following properties of unital ${\rm C^*}$-algebra in a class of $\Omega$ are preserved by unital simple ${\rm C^*}$-algebra in the class of $\rm WTA\Omega$: $(1)$ uniform property $\Gamma$, $(2)$ a certain type of tracial nuclear dimension at most $n$, $(3)$ weakly $(m, n)$-divisible.

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Qingzhai Fan, Jiahui Wang. 2023-09-16. Certain properties of generalized tracially approximated C*-algebras. https://arxiv.org/abs/2309.08900

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