Equivariant covering spaces of quantum homogeneous spaces

Abstract: In this talk I will explain the imprimitivity theorems for equivariant correspondences in two cases: for a general compact quantum group under a finiteness condition, and for the Drinfeld-Jimbo deformation of a semisimple compact Lie group. These results involve the representation theories of function algebras and the Tannaka-Krein duality for equivariant correspondences. I also would like to give some applications if time allows.

category theoryoperator algebrasquantum algebra

Audience: researchers in the topic

Quantum Groups Seminar [QGS]

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.

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