Groups and Operator Algebras Seminar

Speaker: Robert Neagu (University of Oxford)

Title: Applications of the total invariant in the structure and classification of C*-algebras

Abstract: In the last 5 decades, there has been a pronounced tendency to obtain classification results for C*-algebras by first classifying *-homomorphisms between them. I will briefly describe some of these classification results for *-homomorphisms and show how they can be used to study regularity properties of inclusions such as finite nuclear dimension and real rank zero. Moreover, I will explain how classification of *-homomorphisms can be used to examine the possible bundles of KMS states for large classes of C*-algebras. If time permits, we will define morphisms in other categories and explore some future goals around classifying actions of C*-tensor categories on C*-algebras.

GOA website: https://sites.google.com/view/copenhagen-goa-seminar