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Factoriality of $q$-deformed Araki-Woods von Neumann algebras
Published 15 Mar 2017 in math.OA | (1703.04924v3)
Abstract: It is proved that the $q$-Araki-Woods von Neumann algebras $\Gamma_q(\CH_\R,U_t){\prime\prime}$ for $q\in (-1,1)$ are factors if $dim(\CH_\R)\geq 3$.
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