On the factoriality of q-deformed Araki-Woods von Neumann algebras

Panchugopal Bikram, Kunal Mukherjee, Éric Ricard +1

The $q$-deformed Araki-Woods von Neumann algebras ${\Gamma }_q({\mathcal{H}}_{\mathbb{R}},U_t{)}^{\prime \prime }$ are factors for all $q\in (-1,1)$ whenever $dim({\mathcal{H}}_{\mathbb{R}})\ge 3$.…