Braided tensor product of von Neumann algebras

Abstract: Work of Meyer, Roy and Woronowicz has shown that the category of C*-algebras with an action by a quasi-triangular quantum group admits a monoidal structure by means of a braided tensor product. We have shown that a similar result holds if instead we work with actions on von Neumann algebras. Moreover, particular to this setting, we are able to show how (part of the) modular theory of a braided tensor product behaves. We will frame the latter result in a more general setting of cocycle deformations. This is joint work with J. Krajczok.

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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