Complete Metric Approximation Property For Mixed $q$-Deformed Araki-Woods Factors

Abstract

The main result of this paper is to establish the ${\text{weak}}^{\ast }$ completely metric approximation property ($w^{\ast }$-CMAP) for the mixed $q$-deformed Araki-Woods factors for all symmetric matrices with entries $-1<q_{i,j}<1$, using an ultraproduct embedding of the mixed $q$-deformed Araki-Woods factors.

28 pages