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

Abstract

It is proved that the $q$-Araki-Woods von Neumann algebras $Γ_q(\CH_\R,U_t)^{\prime\prime}$ for $q\in (-1,1)$ are factors if $dim(\CH_\R)\geq 3$.

arXiv commentThis paper is withdrawn as the as the final statement is inconclusive