Fullness of $q$-Araki-Woods factors

Abstract

The $q$-Araki-Woods factor associated to a group of orthogonal transformations on a real separable Hilbert space ${\mathsf{H}}_{\mathbb{R}}$ is full as soon as $\dim {\mathsf{H}}_{\mathbb{R}}\ge 2$.

18 pages; minor corrections; final version to appear in JLMS