Cartan semigroups and twisted groupoid C*-algebras
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866913806172553216 |
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| author | Bice, Tristan Clark, Lisa Orloff Lin, Ying-Fen McCormick, Kathryn |
| author_facet | Bice, Tristan Clark, Lisa Orloff Lin, Ying-Fen McCormick, Kathryn |
| contents | We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan subalgebras. This extends the classic Kumjian-Renault theory to general twisted étale groupoid C*-algebras, even non-reduced C*-algebras of non-effective groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_05024 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cartan semigroups and twisted groupoid C*-algebras Bice, Tristan Clark, Lisa Orloff Lin, Ying-Fen McCormick, Kathryn Operator Algebras 46L05, 22A22 We prove that twisted groupoid C*-algebras are characterised, up to isomorphism, by having Cartan semigroups, a natural generalisation of normaliser semigroups of Cartan subalgebras. This extends the classic Kumjian-Renault theory to general twisted étale groupoid C*-algebras, even non-reduced C*-algebras of non-effective groupoids. |
| title | Cartan semigroups and twisted groupoid C*-algebras |
| topic | Operator Algebras 46L05, 22A22 |
| url | https://arxiv.org/abs/2407.05024 |