Braided quantum symmetries of graph C*-algebras

Abstract: A braided compact quantum group (over T) is, roughly speaking, a “compact quantum group” object in the category of T-C*-algebras equipped with a twisted monoidal structure. In this talk, we shall explain the existence of a universal braided compact quantum group acting on a graph C*-algebra in the category mentioned above. Time permitting, we shall sketch the proof, constructing along the way a braided analogue of the free unitary quantum group. Finally, as an example, we shall compute this universal braided compact quantum group for the Cuntz algebra.

operator 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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