Talk page
Title:
Elements of Kasparov’s K-Theory for Correlated and Disordered Systems
Speaker:
Abstract:
K-Theory for operator algebras played an essential role in our understanding of the stability of topological invariants of un-correlated systems in the presences of strong disorder. Kasparov’s generalization, widely known as KK-Theory, seems to provide the right framework for treating the correlated and disordered topological phases. In the first part of my talk, I will review the core of Kasparov’s K-theory and indicate connections to Alain Connes’ program in Non-Commutative Geometry, together with index theorems that have been obtained for disordered topological insulators. In the second part, I will discuss one correlated case which is treated within this formalism.
Link:
Workshop: