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arXiv · 1703.04924

Factoriality of $q$-deformed Araki-Woods von Neumann algebras

Panchugopal Bikram·Kunal Mukherjee
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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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Panchugopal Bikram, Kunal Mukherjee. 2017-03-15. Factoriality of $q$-deformed Araki-Woods von Neumann algebras. https://arxiv.org/abs/1703.04924

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