Strict comparison for twisted group C*-algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917437943840768 |
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| author | Raum, Sven Thiel, Hannes Vilalta, Eduard |
| author_facet | Raum, Sven Thiel, Hannes Vilalta, Eduard |
| contents | We prove that any reduced twisted group C*-algebra of a selfless group with the rapid decay property is selfless. As an application, we show that twisted group C*-algebras of acylindrically hyperbolic groups (possibly with nontrivial finite radical) and rapid decay are pure, and hence have strict comparison. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_18569 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Strict comparison for twisted group C*-algebras Raum, Sven Thiel, Hannes Vilalta, Eduard Operator Algebras Group Theory Primary 46L05, Secondary 19K14, 46L80, 46L85 We prove that any reduced twisted group C*-algebra of a selfless group with the rapid decay property is selfless. As an application, we show that twisted group C*-algebras of acylindrically hyperbolic groups (possibly with nontrivial finite radical) and rapid decay are pure, and hence have strict comparison. |
| title | Strict comparison for twisted group C*-algebras |
| topic | Operator Algebras Group Theory Primary 46L05, Secondary 19K14, 46L80, 46L85 |
| url | https://arxiv.org/abs/2505.18569 |