Dynamics of compact quantum metric spaces

Abstract: The classical Gelfand correspondence justifies the slogan that C*-algebras are to be thought of as "non-commutative Hausdorff spaces", and Rieffel's theory of compact quantum metric spaces provides, in the same vein, a non-commutative counterpart to the theory of compact metric spaces. The aim of my talk is to introduce the basics of this theory, and explain some new results on dynamical systems of compact quantum metric spaces. If time permits, I will also touch upon another recent result, which shows how quantized intervals approximate a classical interval in the quantum version of the Gromov-Hausdorff distance. This is based on joint works with Jens Kaad and Thomas Gotfredsen.

operator 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.