Institute of Mathematics for Industry

Seminar



List All(1087) Today and tomorrow's seminars(1)

Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence


Hold Date 2016-05-23 16:30~2016-05-23 18:00

Place Lecture Room S W1-C-504, West Zone 1, Ito campus, Kyushu University

Object person  

Speaker Yusuke ISONO (RIMS)

Abstract:
We investigate the asymptotic structure of (possibly type III) crossed product von Neumann algebras arising from arbitrary actions of bi-exact discrete groups (e.g. free groups) on amenable von Neumann algebras. We particularly prove a spectral gap rigidity result for the crossed products and, using recent results of Boutonnet-Ioana-Salehi Golsefidy, we provide examples of group measure space type III factors with no central sequences. This is joint work with C. Houdayer.