Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914065775853568 |
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| author | Arimoto, Ryoya Sogabe, Taro |
| author_facet | Arimoto, Ryoya Sogabe, Taro |
| contents | In this paper, we investigate the topological full groups arising from the Cuntz and Cuntz-Toeplitz algebras and their crossed products with the Cartan subalgebras of Cuntz and Cuntz-Toeplitz algebras. We study the normal subgroups and abelianization of these groups and completely determine the KMS states of the reduced crossed products with respect to some canonical gauge actions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05145 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products Arimoto, Ryoya Sogabe, Taro Operator Algebras In this paper, we investigate the topological full groups arising from the Cuntz and Cuntz-Toeplitz algebras and their crossed products with the Cartan subalgebras of Cuntz and Cuntz-Toeplitz algebras. We study the normal subgroups and abelianization of these groups and completely determine the KMS states of the reduced crossed products with respect to some canonical gauge actions. |
| title | Topological full groups arising from Cuntz and Cuntz-Toeplitz algebras and their crossed products |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2504.05145 |