Braided quantum symmetries of graph $\mathrm{C}^*$-algebras
| Autor: | Bhattacharjee, Suvrajit, Joardar, Soumalya, Roy, Sutanu |
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| Rok vydání: | 2022 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0129167X24500514 |
| Popis: | 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. Comment: Revised version following the referee's suggestions. To appear in International Journal of Mathematics |
| Databáze: | arXiv |
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