Operator algebra seminar

Speaker: Peter Verraedt, KU Leuven

Title: Type III Bernoulli crossed products

Abstract: Crossed products with noncommutative Bernoulli actions were introduced by Connes as the first examples of full factors of type III. In this talk, I present a complete classification of the factors (P,φ)^Fn \rtimes Fn, where Fn is the free group and P is an amenable factor with an almost periodic state φ. I show that these factors are completely classified by the rank n of the free group Fn and Connes's Sd-invariant. This is joint work with Stefaan Vaes.