The bundle of KMS state spaces for flows on a unital C*-algebra

2021/09/14 by Elliott, George A., Thomsen, Klaus
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2109.06464

Abstract

It is shown that any bundle of KMS state spaces which can occur for a flow on a unital separable C*-algebra with a trace state can also be realized by a flow on any given unital infinite-dimensional simple AF algebra with a tracial state space affinely homeomorphic to the fiber in the bundle over 0.

Related

• The admissible KMS bundles on classifiable C^*-algebras
• Equilibria when the temperature goes to zero
• Rationally AF algebras and KMS states of Z-absorbing C*-algebras
• KMS states on uniform Roe algebras
• The Space of Tracial States on a C^*-Algebra