Groups and Operator Algebras Seminar

Speaker: Amine Marrakchi (ENS Lyon)

Title: Averaging in von Neumann algebras and applications

Abstract: Given a group of automorphisms acting of a von Neumann algebra, is it true that the closed convex hull of each orbit contains a fixed point? This kind of averaging properties is fundamental in the theory of von Neumann. In this talk, I will explain a way to obtain such averaging properties when Hilbert space techniques are not available and I will give a recent application to Kadison's problem (1967).

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