Connes' Bicentralizer Problem for Mixed \(q\)-deformed Araki-Woods Algebras

In this article, we show that the mixed \(q\)-deformed Araki-Woods von Neumann algebra \(\Gamma_T(H_\R, U_t)^{\prime\prime}\) has trivial bicentralizer, whenever it is of type \(\mathrm{III}_1\).

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Author: Panchugopal Bikram
Format: Article
Language:English
Subjects:
Deformation
Online Access:Get full text
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Summary:In this article, we show that the mixed \(q\)-deformed Araki-Woods von Neumann algebra \(\Gamma_T(H_\R, U_t)^{\prime\prime}\) has trivial bicentralizer, whenever it is of type \(\mathrm{III}_1\).
ISSN:2331-8422