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arXiv · 2410.09490

Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras

Panchugopal Bikram
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Abstract

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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Panchugopal Bikram. 2024-10-12. Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras. https://arxiv.org/abs/2410.09490

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