Full Solution of the Factoriality Question for q-Araki-Woods von Neumann Algebras Via Conjugate Variables
Full Solution of the Factoriality Question for q-Araki-Woods von Neumann Algebras Via Conjugate Variables
We establish factoriality of $q$-Araki-Woods von Neumann algebras (with the number of generators at least two) in full generality, exploiting the approach via conjugate variables developed recently in the tracial case by Akihiro Miyagawa and Roland Speicher, and abstract results of Brent Nelson. We also establish non-injectivity and determine the …