Operator Algebra seminar

Speaker:  Eduardo Scarparo

Title: Supramenable groups and tracial states on partial crossed products

Abstract : Partial actions of groups on C*-algebras were introduced by Exel and McClanahan  as a generalization of (global) actions. On one hand, there are more tools for realizing a C*-algebra as a partial crossed product. On the other hand, many structural results about crossed products are still true for partial crossed products.

A group is supramenable if all of its subsets are non-paradoxical. This is a stronger condition than amenability. 

We discuss a relation between supramenability and existence of tracial states on partial crossed products.