An example of explicit dependence of quantum symmetry on KMS states

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.

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