Quantum Cuntz-Krieger algebras

Abstract: The notion of a quantum graph, a concept going back to work of Erdos-Katavolos-Shulman and Weaver, provides a noncommutative generalisation of finite graphs. Quantum graphs play an intriguing role in the analysis of quantum symmetries of graphs via monoidal equivalences, and naturally appear also in quantum information theory.

In this talk, I will discuss the construction of certain C*-algebras associated with directed quantum graphs, in analogy to the definition of Cuntz-Krieger algebras, and illustrate this with some examples. (Joint work with M. Brannan, K. Eifler, M. Weber.)

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.