Noncommutative Minkowski integral inequality and a unitary categorification criterion for fusion rings
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915742190927872 |
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| author | Lim, Junhwi |
| author_facet | Lim, Junhwi |
| contents | We prove a noncommutative analogue of Minkowski's integral inequality for commuting squares of tracial von Neumann algebras. The inequality implies a necessary condition for a quadruple of graphs to be realized as inclusion graphs of a commuting square of multi-matrix algebras. As a corollary, we obtain a unitary categorification criterion for based rings, in particular, fusion rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13490 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Noncommutative Minkowski integral inequality and a unitary categorification criterion for fusion rings Lim, Junhwi Operator Algebras Category Theory Functional Analysis Quantum Algebra We prove a noncommutative analogue of Minkowski's integral inequality for commuting squares of tracial von Neumann algebras. The inequality implies a necessary condition for a quadruple of graphs to be realized as inclusion graphs of a commuting square of multi-matrix algebras. As a corollary, we obtain a unitary categorification criterion for based rings, in particular, fusion rings. |
| title | Noncommutative Minkowski integral inequality and a unitary categorification criterion for fusion rings |
| topic | Operator Algebras Category Theory Functional Analysis Quantum Algebra |
| url | https://arxiv.org/abs/2601.13490 |