Variations on the theme of amenability

Jianchao Wu  (University of Muenster)

9:30 am to 10:30 am, Mar 10th, 2015   A1510, Science Building

Abstract:

We introduce and compare a few notions that generalize amenability for groups --- coarse amenability, algebraic amenability, and the Folner property for $C^*$-algebras. Connections between them are highlighted with the help of uniform Roe algebras. We also discuss aspects such as the dichotomy between amenability and paradoxical decomposition, and the relation between amenability and proper amenability.

This is joint work with Pere Ara, Kang Li and Fernando Lledo.