Monadic reconstruction of unitary Drinfeld centers and Factorization Homology
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917337111724032 |
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| author | Hataishi, Lucas |
| author_facet | Hataishi, Lucas |
| contents | We prove that the unitary Drinfeld center of a unitary tensor category is equivalente to the category of unitary bimodules for the canonical W*-algebra object, generalizing Müger's result to the non-fusion case. This is then used to express factorization homology in terms of C*-algebraic extensions of symmetric enveloping algebras and actions of Drinfeld dobules of compact quantum groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08848 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Monadic reconstruction of unitary Drinfeld centers and Factorization Homology Hataishi, Lucas Quantum Algebra Mathematical Physics Operator Algebras 18M20, 81Txx, 46L80 We prove that the unitary Drinfeld center of a unitary tensor category is equivalente to the category of unitary bimodules for the canonical W*-algebra object, generalizing Müger's result to the non-fusion case. This is then used to express factorization homology in terms of C*-algebraic extensions of symmetric enveloping algebras and actions of Drinfeld dobules of compact quantum groups. |
| title | Monadic reconstruction of unitary Drinfeld centers and Factorization Homology |
| topic | Quantum Algebra Mathematical Physics Operator Algebras 18M20, 81Txx, 46L80 |
| url | https://arxiv.org/abs/2512.08848 |