Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8896761 | Journal of Functional Analysis | 2018 | 34 Pages |
Abstract
We present a general framework for the study of KMS states of generalized gauge actions on the Câ-algebra of a Cayley graph which is pointed by considering the neutral element of the group as a distinguished vertex. We use this framework to give a concrete description of a particular kind of KMS states on the Câ-algebras that we call abelian KMS states. If the group is nilpotent all KMS states are abelian and our analysis gives the full picture in this case. We then describe the ground states that are limits of abelian KMS states when the temperature goes to zero.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Johannes Christensen, Klaus Thomsen,