KMS states on quantum Cuntz-Krieger algebras
arXiv:2412.07410 · doi:10.1090/proc/17350
Abstract
We study the KMS states on local quantum Cuntz-Krieger algebras associated to quantum graphs. Using their isomorphism to the Cuntz-Pimsner algebra of the quantum edge correspondence, we show that the general criteria for KMS states can be translated into statements about the underlying quantum adjacency operator, somewhat analogously to the case of classical Cuntz-Krieger algebras. We study some examples of gauge actions, for which a complete classification of KMS states can be obtained.
13 pages, this is the author accepted manuscript