Quantum Symmetries of the Twisted Tensor Products of C*-Algebras

Authors

Jyotishman Bhowmick, Indian Statistical Institute, Kolkata
Arnab Mandal, National Institute of Science Education and Research
Sutanu Roy, National Institute of Science Education and Research
Adam Skalski, Institute of Mathematics of the Polish Academy of Sciences

Article Type

Research Article

Publication Title

Communications in Mathematical Physics

Abstract

We consider the construction of twisted tensor products in the category of C*-algebras equipped with orthogonal filtrations and under certain assumptions on the form of the twist compute the corresponding quantum symmetry group, which turns out to be the generalized Drinfeld double of the quantum symmetry groups of the original filtrations. We show how these results apply to a wide class of crossed products of C*-algebras by actions of discrete groups. We also discuss an example where the hypothesis of our main theorem is not satisfied and the quantum symmetry group is not a generalized Drinfeld double.

First Page

1051

Last Page

1085

DOI

10.1007/s00220-018-3279-5

Publication Date

6-1-2019

Comments

Open Access, Hybrid Gold, Green

Recommended Citation

Bhowmick, Jyotishman; Mandal, Arnab; Roy, Sutanu; and Skalski, Adam, "Quantum Symmetries of the Twisted Tensor Products of C*-Algebras" (2019). Journal Articles. 811.
https://digitalcommons.isical.ac.in/journal-articles/811