Title: Q-system realization and applications
Speaker: Quan Chen (The Ohio State University)
Abstract: Q-systems are unitary versions of Frobenius algebra objects which appeared in the theory of subfactors. I will discuss higher unitary idempotent completion for C*/W* 2-categories called Q-system completion and its inverse 2-functor called realization. We will explain several applications of Q-system realization, including the coend construction to describe the inductive limit II_1 factor of a Jones tower and induced actions of unitary tensor categories on C*-algebras. Time permitting, we will explain the relationship between the equivariant K-theory and the K-theory of the realization.
URL associated with Seminar: https://www.asc.ohio-state.edu/math/vqss/