Title: Structure and non-isomorphisms of q-Araki-Woods factors

Abstract: Hiai’s construction of q-Araki-Woods factors generalizes both Shlyakhtenko’s free Araki-Woods factors and Bozejko-Speicher’s q-Gaussian algebras. In this talk, I will present that these q-Araki-Woods factors are strongly solid when almost periodic. Under a certain spectrum condition of the associated representation, I will show that q-Araki-Woods with infinite variables are not isomorphic to free Araki-Woods factors. This is a joint work with Hui Tan.