English

An example of explicit dependence of quantum symmetry on KMS states

Operator Algebras 2022-09-07 v1

Abstract

We compute all the quantum symmetries of a graph with n- disjoint loops at the critical inverse temperature. We show that the set of non-isomorphic CQG's appearing as quantum symmetry at the critical inverse temperature has a one to one correspondence with the cardinality of the set of partitions of the number of vertices.

Keywords

Cite

@article{arxiv.1811.08735,
  title  = {An example of explicit dependence of quantum symmetry on KMS states},
  author = {Soumalya Joardar and Arnab Mandal},
  journal= {arXiv preprint arXiv:1811.08735},
  year   = {2022}
}

Comments

9 pages. arXiv admin note: text overlap with arXiv:1803.08012, arXiv:1806.09167