The inheritance tracial topological rank zero for centrally large subalgebra
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866913342187110400 |
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| author | Fan, Qingzhai Fang, Xiaochun |
| author_facet | Fan, Qingzhai Fang, Xiaochun |
| contents | Let $A$ be an infinite-dimensional unital simple C*-algebra such that A has $μ$-$oz{\rm LLP}$ property for any $μ\in(0,1)$. 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06138 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The inheritance tracial topological rank zero for centrally large subalgebra Fan, Qingzhai Fang, Xiaochun Operator Algebras Let $A$ be an infinite-dimensional unital simple C*-algebra such that A has $μ$-$oz{\rm LLP}$ property for any $μ\in(0,1)$. 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. |
| title | The inheritance tracial topological rank zero for centrally large subalgebra |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2401.06138 |