Non-commutative balls and quantum group structures

Abstract: The Toeplitz algebra attached to the unit disk is the universal C∗-algebra generated by an isometry, and is a non-commutative analogue of the unit disk. Similarly, one can attach algebras to non-commutative counterparts of non-compact Hermitian symmetric spaces. I will discuss results to the effect that such quantum spaces cannot admit quantum group structures, i.e. their attached non-commutative “function algebras” do not admit reasonable Hopf algebra structures.

(joint w/ Jacek Krajczok and Piotr Soltan)

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.

The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.