Groups and Operator Algebras Seminar

Speaker: Léonard Cadilhac (Sorbonne Université)

Title: Ergodic maximal inequalities and tilings of amenable groups

Abstract: I will be presenting joint work with S. Wang, in which we prove a pointwise ergodic theorem for actions of amenable groups on noncommutative measure spaces. Our work is an extension (although not strictly) of a result of Lindenstrauss, which deals with classical measure preserving actions of amenable groups, and also of Junge and Xu's noncommutative generalization of Birkhoff's ergodic theorem. During the talk, I will introduce the relevant objects and context, and then discuss the strategy of proof and the key role of tilings.

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