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arXiv · 2401.06138

The inheritance tracial topological rank zero for centrally large subalgebra

Qingzhai Fan·Xiaochun Fang
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Abstract

Let $A$ be an infinite-dimensional unital simple C*-algebra such that A has $\mu$-$oz{\rm LLP}$ property for any $\mu\in(0,1)$. Let $B\subseteq A$ be a centrally large subalgebra of $A$ such that $B$ has tracial topological rank zero. Then $A$ has tracial topological rank zero.

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Qingzhai Fan, Xiaochun Fang. 2023-11-22. The inheritance tracial topological rank zero for centrally large subalgebra. https://arxiv.org/abs/2401.06138

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