Certain properties of generalized tracially approximated C*-algebras
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866916193980383232 |
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| author | Fan, Qingzhai Wang, Jiahui |
| author_facet | Fan, Qingzhai Wang, Jiahui |
| contents | We show that the following properties of unital ${\rm C^*}$-algebra in a class of $Ω$ are preserved by unital simple ${\rm C^*}$-algebra in the class of $\rm WTAΩ$: $(1)$ uniform property $Γ$, $(2)$ a certain type of tracial nuclear dimension at most $n$, $(3)$ weakly $(m, n)$-divisible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_08900 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Certain properties of generalized tracially approximated C*-algebras Fan, Qingzhai Wang, Jiahui Operator Algebras We show that the following properties of unital ${\rm C^*}$-algebra in a class of $Ω$ are preserved by unital simple ${\rm C^*}$-algebra in the class of $\rm WTAΩ$: $(1)$ uniform property $Γ$, $(2)$ a certain type of tracial nuclear dimension at most $n$, $(3)$ weakly $(m, n)$-divisible. |
| title | Certain properties of generalized tracially approximated C*-algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2309.08900 |