Groups and Operator Algebras Seminar

Speaker: Cyril Houdayer (Université Paris-Saclay)

Title: Recent progress on the Haagerup-Størmer conjecture.

Abstract: In this talk, I will show that a large class of almost periodic type III_1 factors M, including all McDuff factors that tensorially absorb R_\infty and all free Araki-Woods factors, satisfy Haagerup-Størmer’s conjecture (1988): any pointwise inner automorphism of M is the composition of an inner and a modular automorphism. In particular, this provides the first examples of nonamenable type III_1 factors satisfying the Haagerup-Størmer conjecture. This is joint work with Yusuke Isono.

GOA website: https://sites.google.com/view/copenhagen-goa-seminar