Complete metric approximation property for q-Araki-Woods algebras

By adapting an ultraproduct technique of Junge and Zeng, we prove that radial completely bounded multipliers on q-Gaussian algebras transfer to q-Araki-Woods algebras. As a consequence, we establish the w⁎-complete metric approximation property for all q-Araki-Woods algebras. We apply the latter result to show that the canonical ultraweakly dense C⁎-subalgebras of q-Araki-Woods algebras are always QWEP.