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Connes' Bicentralizer Problem for Mixed $q$-deformed Araki-Woods Algebras (2410.09490v1)
Published 12 Oct 2024 in math.OA
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 $\mathrm{III}_1$.