Seminar by Student

Abstract: In this talk we will discuss the w*-complete metric approximation property for  mixed q-Araki-Woods von Neumann algebras for any Q=(q_i,j)_i,j  where q_i,j real numbers with max |q_i,j|<1. By adapting an ultraproduct technique of Junge and Zeng, we prove that the mixed q-Araki-Woods von Neumann algebras is isomorphic to ultraproducts of some mixed q-Gaussian and some q-Araki-Woods von Neumann algebras. As a consequence, we discuss its applicability for  the completely bounded norm of radial multipliers on mixed q-Gaussian von Neumann algebras to mixed q-Araki-Woods von Nuemann algebras, hence establishing the w*-cmap for mixed q-Araki-Woods von Neumann algebras.