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

Abstract

The main result of this paper is to establish the $\text{weak}^*$ completely metric approximation property ($w^*$-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.