Quantum Symmetry of Graph C*-algebras associated with connected Graphs
Operator Algebras
2018-10-11 v3
Abstract
We define a notion of quantum automorphism group of Graph C*-algebras for finite, connected graphs. Under the assumption that the underlying graph does not have any multiple edge or loop, the quantum automorphism group of underlying directed graph in the sense of T. banica is shown to be a quantum subgroup of quantum automorphism group in our sense. Quantum symmetries for some concrete graph C*-algebras have been computed.
Keywords
Cite
@article{arxiv.1711.04253,
title = {Quantum Symmetry of Graph C*-algebras associated with connected Graphs},
author = {Soumalya Joardar and Arnab Mandal},
journal= {arXiv preprint arXiv:1711.04253},
year = {2018}
}
Comments
Theorem 4.10 (In the present version) has been improved