Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929538694381568 |
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| author | Bikram, Panchugopal |
| author_facet | Bikram, Panchugopal |
| contents | In this article, we show that the mixed $q$-deformed Araki-Woods von Neumann algebra $Γ_T(H_\R, U_t)^{\prime\prime}$ has trivial bicentralizer, whenever it is of type $\mathrm{III}_1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09490 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras Bikram, Panchugopal Operator Algebras In this article, we show that the mixed $q$-deformed Araki-Woods von Neumann algebra $Γ_T(H_\R, U_t)^{\prime\prime}$ has trivial bicentralizer, whenever it is of type $\mathrm{III}_1$. |
| title | Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2410.09490 |