An extreme boundary of acylindrically hyperbolic groups
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918335107563520 |
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| author | Yang, Wenyuan |
| author_facet | Yang, Wenyuan |
| contents | We prove that every acylindrically hyperbolic group admits a minimal and extremely proximal action on a compact metrizable space. If there are no nontrivial finite normal subgroups, then the action is topologically free. This answers positively a question of Ozawa and the applications to $C^\ast$-algebras are discussed. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_16400 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An extreme boundary of acylindrically hyperbolic groups Yang, Wenyuan Group Theory Operator Algebras We prove that every acylindrically hyperbolic group admits a minimal and extremely proximal action on a compact metrizable space. If there are no nontrivial finite normal subgroups, then the action is topologically free. This answers positively a question of Ozawa and the applications to $C^\ast$-algebras are discussed. |
| title | An extreme boundary of acylindrically hyperbolic groups |
| topic | Group Theory Operator Algebras |
| url | https://arxiv.org/abs/2511.16400 |