Operator algebra seminar

Speaker: James Rout  (Technion)

Title: Graph C*-algebras, groupoids and edge shifts

Abstract: Graph C*-algebras are C*-algebras that are universal for generators and relations that are encoded by directed graphs. These C*-algebras can also be described as groupoid C*-algebras (groupoids generalise groups and groupoid C*-algebras generalise group C*-algebras). I will talk about joint work with Toke Meier Carlsen about characterising *-isomorphisms of graph C*-algebras in terms of isomorphisms of groupoids, and I will explain the applications of this characterisation to edge shift spaces (the symbolic dynamical systems constructed from directed graphs).