Bi-exact groups, strongly ergodic actions and group measure space type III factors with no central sequence
作用素環論・エルゴード理論セミナー
開催期間
2016.5.23(月)
16:30 ~ 18:00
16:30 ~ 18:00
場所
九州大学 伊都キャンパス ウエスト１号館 小講義室 W1-C-504
講演者
磯野 優介 (RIMS)
概要
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.