Analysis Seminar

Roberto Hernandez Palomares, Department of Pure Mathematics, University of Waterloo

"K-theoretic classification of inductive limit actions of fusion categories on AF C*-algebras"

I will introduce a K-theoretic complete invariant of inductive limits of finite dimensional actions of unitary fusion categories on unital AF-algebras. This framework encompasses all such actions by finite groups on AF-algebras. Our classification result essentially follows from applying Elliott's Intertwining Argument adapted to this equivariant context, combined with tensor categorical techniques. Time allowing, we will discuss some applications. This is joint work with Quan Chen and Corey Jones.

This seminar will be held both online and in person:

• Room: MC 5479
• Zoom link: https://uwaterloo.zoom.us/j/94186354814?pwd=NGpLM3B4eWNZckd1aTROcmRreW96QT09