Maximal amenability of the radial subalgebra in free quantum group factors
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916835847307264 |
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| author | Vergnioux, Roland Wang, Xumin |
| author_facet | Vergnioux, Roland Wang, Xumin |
| contents | We show that the radial MASA in the orthogonal free quantum group algebra L(FO_N) is maximal amenable if N is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07785 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Maximal amenability of the radial subalgebra in free quantum group factors Vergnioux, Roland Wang, Xumin Operator Algebras Quantum Algebra 46L65, 20G42, 46L10 We show that the radial MASA in the orthogonal free quantum group algebra L(FO_N) is maximal amenable if N is large enough, using the Asymptotic Orthogonality Property. This relies on a detailed study of the corresponding bimodule, for which we construct in particular a quantum analogue of Rădulescu's basis. As a byproduct we also obtain the value of the Pukánszky invariant for this MASA. |
| title | Maximal amenability of the radial subalgebra in free quantum group factors |
| topic | Operator Algebras Quantum Algebra 46L65, 20G42, 46L10 |
| url | https://arxiv.org/abs/2401.07785 |