Tue, July 26, 2022
2:00 pm - 3:00 pm
Zoom
Title: K-theoretical classification of inductive limit actions of unitary fusion categories on AF-algebras
Speaker: Quan Chen, The Ohio State University
Abstract: We introduce a K-theoretic invariant for actions of unitary fusion categories on unital C*-algebras. We show that this is a complete invariant for inductive limits of finite dimensional actions of fusion categories on unital AF-algebras. In particular, this gives a complete invariant for inductive limit actions of finite groups on AF-algebras. We apply our results to obtain a classification of finite depth, strongly AF-inclusions of unital AF-algebras. This is joint work with Roberto Hernandez Palomares and Corey Jones.