Noncommutative Geometry Seminar

Date: October 11, 2017

Time: 2:00PM - 3:00PM

Location: BLOC 628

Speaker: Benben Liao, Texas A&M University

Title: Noncommutative maximal inequalities for group actions

Abstract: Let $G$ be a finitely generated group, and $M$ a semi-finite von Neumann algebra on which $G$ acts. When the group $G$ has polynomial growth, we obtain strong type $(p,p),p>1,$ and weak type $(1,1)$ maximal inequalities for $G$ acting on $M$. The result extends the work of Yeadon and Junge-Xu for $G$ being the integer group. This is based on joint work with Guixiang Hong and Simeng Wang (https://arxiv.org/abs/1705.04851).