Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866915232717209600 |
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| author | Arimoto, Ryoya |
| author_facet | Arimoto, Ryoya |
| contents | We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. We also prove a partial converse of this result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15754 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries Arimoto, Ryoya Operator Algebras Group Theory 37A55, 46L05, 22D25 We prove that if a totally disconnected locally compact group admits a topologically free boundary, then the reduced crossed product of continuous functions on its Furstenberg boundary by the group is simple. We also prove a partial converse of this result. |
| title | Simplicity of crossed products of the actions of totally disconnected locally compact groups on their boundaries |
| topic | Operator Algebras Group Theory 37A55, 46L05, 22D25 |
| url | https://arxiv.org/abs/2312.15754 |