Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914388898742272 |
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| author | Hataishi, Lucas Yamashita, Makoto |
| author_facet | Hataishi, Lucas Yamashita, Makoto |
| contents | We develop a tensor categorical duality in the sprit of the Tannaka-Krein duality for the C*-algebras admitting the Yetter-Drinfeld module structure over a compact quantum group. Under this duality, given a reduced compact quantum group G, the Yetter-Drinfeld G-C*-algebras correspond to the bimodule categories over the representation category Rep(G), satisfying a certain centrality condition. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_21162 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case Hataishi, Lucas Yamashita, Makoto Operator Algebras Quantum Algebra We develop a tensor categorical duality in the sprit of the Tannaka-Krein duality for the C*-algebras admitting the Yetter-Drinfeld module structure over a compact quantum group. Under this duality, given a reduced compact quantum group G, the Yetter-Drinfeld G-C*-algebras correspond to the bimodule categories over the representation category Rep(G), satisfying a certain centrality condition. |
| title | Categorical dualtiy for Yetter-Drinfeld C*-algebras. Beyond the braided-commutative case |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2504.21162 |