KMS states on the C*-algebras of Fell bundles over groupoids

@article{Afsar2017KMSSO,
  title={KMS states on the C*-algebras of Fell bundles over groupoids},
  author={Zahra Afsar and Aidan Sims},
  journal={Mathematical Proceedings of the Cambridge Philosophical Society},
  year={2017},
  volume={170},
  pages={221 - 246}
}
  • Zahra AfsarA. Sims
  • Published 2 August 2017
  • Mathematics
  • Mathematical Proceedings of the Cambridge Philosophical Society
Abstract We consider fibrewise singly generated Fell bundles over étale groupoids. Given a continuous real-valued 1-cocycle on the groupoid, there is a natural dynamics on the cross-sectional algebra of the Fell bundle. We study the Kubo–Martin–Schwinger equilibrium states for this dynamics. Following work of Neshveyev on equilibrium states on groupoid C*-algebras, we describe the equilibrium states of the cross-sectional algebra in terms of measurable fields of states on the C*-algebras of the… 

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