Braided quantum symmetries of graph $\mathrm{C}^*$-algebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866929453296254976 |
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| author | Bhattacharjee, Suvrajit Joardar, Soumalya Roy, Sutanu |
| author_facet | Bhattacharjee, Suvrajit Joardar, Soumalya Roy, Sutanu |
| contents | We prove the existence of a universal braided compact quantum group acting on a graph $\mathrm{C}^*$-algebra in the category of $\mathbb{T}$-$\mathrm{C}^*$-algebras with a twisted monoidal structure, in the spirit of the seminal work of S. Wang. To achieve this, we construct a braided analogue of the free unitary quantum group and study its bosonization. As a concrete example, we compute this universal braided compact quantum group for the Cuntz algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2201_09885 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Braided quantum symmetries of graph $\mathrm{C}^*$-algebras Bhattacharjee, Suvrajit Joardar, Soumalya Roy, Sutanu Operator Algebras Quantum Algebra We prove the existence of a universal braided compact quantum group acting on a graph $\mathrm{C}^*$-algebra in the category of $\mathbb{T}$-$\mathrm{C}^*$-algebras with a twisted monoidal structure, in the spirit of the seminal work of S. Wang. To achieve this, we construct a braided analogue of the free unitary quantum group and study its bosonization. As a concrete example, we compute this universal braided compact quantum group for the Cuntz algebra. |
| title | Braided quantum symmetries of graph $\mathrm{C}^*$-algebras |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2201.09885 |