Speaker: Yusuke Isono (RIMS, Kyoto University)

Title: Pointwise inner automorphisms of almost periodic factors

Time/Date: 4:45-6:15pm, May 31 (Tue.), 2022

Room: 128 Math Sci Building (It will be also online. The Zoom link is the same as before. If you don't have one, please ask Kawahigashi.)

Abstract: Haagerup--Størmer's conjecture (1988) asserts that any pointwise inner automorphism of a type III1 factor is the composition of an inner and a modular automorphism. We prove that a large class of nonamenable almost periodic type III1 factors satisfy the conjecture. The key idea in the proof is to study a "local version" of pointwise inner automorphisms and then reduce the problem to Araki--Woods subfactors. This is Joint work with C. Houdayer.