Some Permanence properties for crossed products by compact group actions with the tracial Rokhlin property
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916824569872384 |
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| author | Tian, Haotian Fang, Xiaochun |
| author_facet | Tian, Haotian Fang, Xiaochun |
| contents | In this paper, we give some properties of the fixed point algebra and the crossed product of a unital separable simple infinite dimensional C*-algebra by an action of a second-countable compact group with the tracial Rokhlin property with comparison that could be deduced from the properties of its original algebra: (1) stable rank one; (2) real rank zero; (3) $β$-comparison; (4) Winter's $n$-comparison; (5) $m$-almost divisible; (6) weakly ($m$,$n$)-divisible. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_07397 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Some Permanence properties for crossed products by compact group actions with the tracial Rokhlin property Tian, Haotian Fang, Xiaochun Operator Algebras Primary 46L05, Secondary 46L35, 46L80 In this paper, we give some properties of the fixed point algebra and the crossed product of a unital separable simple infinite dimensional C*-algebra by an action of a second-countable compact group with the tracial Rokhlin property with comparison that could be deduced from the properties of its original algebra: (1) stable rank one; (2) real rank zero; (3) $β$-comparison; (4) Winter's $n$-comparison; (5) $m$-almost divisible; (6) weakly ($m$,$n$)-divisible. |
| title | Some Permanence properties for crossed products by compact group actions with the tracial Rokhlin property |
| topic | Operator Algebras Primary 46L05, Secondary 46L35, 46L80 |
| url | https://arxiv.org/abs/2211.07397 |