Actions of fusion categories on topological spaces
Corey Jones (North Carolina State University, USA)
Abstract: Fusion categories are algebraic objects which generalize the representation categories of finite quantum groups. We define an action of a (unitary) fusion category C on a compact Hausdorff space X to be a C module category structure on Hilb(X), the category of finite dimensional Hilbert bundles over a compact Hausdorff space X. When X is connected, we discuss obstructions to the existence of such actions and describe techniques for building examples.
category theoryoperator algebrasquantum algebra
Audience: researchers in the topic
Series comments: This online seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.
The zoom links will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Rubén Martos, Frank Taipe*, Makoto Yamashita |
| *contact for this listing |