Operator Algebra Seminar

Abstract: It’s well known that Woronowics quantum SU(2), as a C*-algbra, is isomorphic to a graph C*-algebra, for a fixed directed graph of two vertex and three arrows.
We will talk about a similar result for quantum SU(3). But now instead of C*-algebras of directed graph, we’ll have to use the higher dimensional generalization introduced by Pask and Kumijan, called a higher rank graph (or n-graph). A concrete description of the n-graph for SU(3) is given, and we also discuss what the appropriate generalization should be for quantum SU(n).