Isometric actions of compact quantum groups on graph C*-algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866909980416802816 |
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| author | Joardar, Soumalya Sharma, Jitender |
| author_facet | Joardar, Soumalya Sharma, Jitender |
| contents | For a strongly connected directed graph $Λ$, it is shown that the quantum automorphism group of $Λ$ acts isometrically in the sense of D. Goswami et al. on the spectral triple $(C^{\ast}(Λ), L^{2}(Λ^{\infty},M),D)$ constructed by Farsi et al.. It is also shown that the natural action of $U_{n}^{+}$ is not isometric on the Cuntz algebra $\mathcal{O}_{n}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_19376 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Isometric actions of compact quantum groups on graph C*-algebras Joardar, Soumalya Sharma, Jitender Operator Algebras Functional Analysis 46L89, 81R50, 81R60 For a strongly connected directed graph $Λ$, it is shown that the quantum automorphism group of $Λ$ acts isometrically in the sense of D. Goswami et al. on the spectral triple $(C^{\ast}(Λ), L^{2}(Λ^{\infty},M),D)$ constructed by Farsi et al.. It is also shown that the natural action of $U_{n}^{+}$ is not isometric on the Cuntz algebra $\mathcal{O}_{n}$. |
| title | Isometric actions of compact quantum groups on graph C*-algebras |
| topic | Operator Algebras Functional Analysis 46L89, 81R50, 81R60 |
| url | https://arxiv.org/abs/2409.19376 |