Factoriality of q-deformed Araki-Woods von Neumann algebras
classification
🧮 math.OA
keywords
algebrasaraki-woodsneumannprimedeformedfactorialityfactorsgamma
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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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