Inclusions of Operator Algebras from Tensor Categories: beyond irreducibility
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918270181834752 |
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| author | Hataishi, Lucas Palomares, Roberto Hernández |
| author_facet | Hataishi, Lucas Palomares, Roberto Hernández |
| contents | We derive faithful inclusions of C*-algebras from a coend-type construction in unitary tensor categories. This gives rise to different potential notions of discreteness for an inclusion in the non-irreducible case, and provides a unified framework that encloses the theory of compact quantum group actions. We also provide examples coming from semi-circular systems and from factorization homology. In the irreducible case, we establish conditions under which the C*-discrete and W*-discrete conditions are equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_05247 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inclusions of Operator Algebras from Tensor Categories: beyond irreducibility Hataishi, Lucas Palomares, Roberto Hernández Operator Algebras Quantum Algebra We derive faithful inclusions of C*-algebras from a coend-type construction in unitary tensor categories. This gives rise to different potential notions of discreteness for an inclusion in the non-irreducible case, and provides a unified framework that encloses the theory of compact quantum group actions. We also provide examples coming from semi-circular systems and from factorization homology. In the irreducible case, we establish conditions under which the C*-discrete and W*-discrete conditions are equivalent. |
| title | Inclusions of Operator Algebras from Tensor Categories: beyond irreducibility |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2504.05247 |