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Noncommutative Geometry and Topology in Prague
K-theoretic classification of inductive limit actions of fusion categories on AF C*-algebras
Speaker’s name:
Roberto Hernandez Palomares
Speaker’s affiliation:
Texas A&M University
Place:
PLEASE NOTE UNUSUAL LOCATION: This talk will take place in the front building, Žitná 25, 3rd floor seminar room.
It will also be broadcast on Zoom:
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
It will also be broadcast on Zoom:
https://cesnet.zoom.us/j/91975183920?pwd=SGdlRUhLS21HUnVFTXBKcE1vYXlrQT09
Meeting ID: 919 7518 3920
Passcode: 102707
Date:
Tuesday, 1. November 2022 - 16:00 to 17:00
Abstract:
I will introduce a K-theoretic complete invariant of inductive limits of finite dimensional actions of 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 Q. Chen and C. Jones.