EVENT DETAILS AND ABSTRACT

Title: Ergodic Theory Approach to the Description of Group Characters
Speaker: K. Medynets
Speaker Info: US Naval Academy
Brief Description:
Special Note:
Abstract:

A character on an infinite group is a positive-definite class function. Extreme characters correspond to traces of finite factor representations of the group in question. Characters can also arise from ergodic mpm actions of groups by evauting the measure of fixed points for group elements. In the talk, we will present two results describing the characters for two classes of groups: (1) full groups of Bratteli diagrams and (2) Thompson's groups. The structure of the characters will be related to the structure of ergodic measures for the natural actions of these groups on the spaces they are defined.