Actions of fusion categories on topological spaces

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

Quantum Groups Seminar [QGS]

Series comments: This 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.

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