Generator masas in $q$-deformed Araki-Woods von Neumann algebras and factoriality

Panchugopal Bikram, Kunal Mukherjee

To any strongly continuous orthogonal representation of $\mathbb{R}$ on a real Hilbert space $\CH_\R$, Hiai constructed $q$-deformed Araki-Woods von Neumann algebras for $-1<q<1$, which…