Bi-exactness of relatively hyperbolic groups
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866910602720444416 |
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| author | Oyakawa, Koichi |
| author_facet | Oyakawa, Koichi |
| contents | We prove that finitely generated relatively hyperbolic groups are bi-exact if and only if all peripheral subgroups are bi-exact. This is a generalization of Ozawa's result which claims that finitely generated relatively hyperbolic groups are bi-exact if all peripheral subgroups are amenable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_08113 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Bi-exactness of relatively hyperbolic groups Oyakawa, Koichi Group Theory Operator Algebras We prove that finitely generated relatively hyperbolic groups are bi-exact if and only if all peripheral subgroups are bi-exact. This is a generalization of Ozawa's result which claims that finitely generated relatively hyperbolic groups are bi-exact if all peripheral subgroups are amenable. |
| title | Bi-exactness of relatively hyperbolic groups |
| topic | Group Theory Operator Algebras |
| url | https://arxiv.org/abs/2207.08113 |