Divisible properties for asymptotically tracially approximation ${\rm C^*}$-algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913299842465792 |
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| author | Fan, Qingzhai Wang, Jiahui |
| author_facet | Fan, Qingzhai Wang, Jiahui |
| contents | We show that the following divisible properties of the ${\rm C^*}$-algebras in a class $\mathcal{P}$ are inherited by simple unital ${\rm C^*}$-algebras in the class of asymptotically tracially in $\mathcal{P}$: $(1)$ $m$-almost divisible, $(2)$ weakly $(m, n)$-divisible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_15106 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Divisible properties for asymptotically tracially approximation ${\rm C^*}$-algebras Fan, Qingzhai Wang, Jiahui Operator Algebras We show that the following divisible properties of the ${\rm C^*}$-algebras in a class $\mathcal{P}$ are inherited by simple unital ${\rm C^*}$-algebras in the class of asymptotically tracially in $\mathcal{P}$: $(1)$ $m$-almost divisible, $(2)$ weakly $(m, n)$-divisible. |
| title | Divisible properties for asymptotically tracially approximation ${\rm C^*}$-algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2205.15106 |