Universal Coefficient Theorems in KK-theory

Abstract

We briefly describe the general machinery for deriving Universal Coefficient Theorems in different categories of Kasparov`s KK-theory. We go on to consider the KK-category of finite group actions that are equivalent to one on a Type I C*-algebra; we explain how after localising at the group order, we can specialize to the appropriate Universal Coefficient Theorem. The talk follows a joint work with Ralf Meyer.

George Nadareishvili

Professor of Mathematics

I am a research mathematician interested in Noncommutative Topology, Operator Algebras, Category Theory and some Theoretical Computer Science.