Weyl groups of groupoid C*-algebras
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916588430557184 |
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| author | Komura, Fuyuta |
| author_facet | Komura, Fuyuta |
| contents | In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalization of the existing Weyl groups. Then we analyse several groups of automorphisms on groupoid C*-algebras. Finally, we apply our results to Cuntz algebras, graph algebras and C*-algebras associated with Deaconu-Renault systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_04906 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Weyl groups of groupoid C*-algebras Komura, Fuyuta Operator Algebras Dynamical Systems 20M18, 22A22, 37A55, 37B02, 46L05, 46L40 In the theory of C*-algebras, the Weyl groups were defined for the Cuntz algebras and graph algebras by Cuntz and Conti et al. respectively. In this paper, we introduce and investigate the Weyl groups of groupoid C*-algebras as a natural generalization of the existing Weyl groups. Then we analyse several groups of automorphisms on groupoid C*-algebras. Finally, we apply our results to Cuntz algebras, graph algebras and C*-algebras associated with Deaconu-Renault systems. |
| title | Weyl groups of groupoid C*-algebras |
| topic | Operator Algebras Dynamical Systems 20M18, 22A22, 37A55, 37B02, 46L05, 46L40 |
| url | https://arxiv.org/abs/2409.04906 |