# 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} }

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…

## 3 Citations

### O A ] 2 5 O ct 2 01 7 KMS and ground states on ultragraph C *-algebras October 26 , 2017

- Mathematics
- 2017

We describe KMS and ground states arising from a generalized gauge action on ultragraph C*-algebras. We focus on ultragraphs that satisfy Condition (RFUM), so that we can use the partial crossed…

### O A ] 2 5 O ct 2 01 7 KMS and ground states on ultragraph C *-algebras July 6 , 2018

- Mathematics
- 2018

We describe KMS and ground states arising from a generalized gauge action on ultragraph C*-algebras. We focus on ultragraphs that satisfy Condition (RFUM), so that we can use the partial crossed…

### KMS and Ground States on Ultragraph C*-Algebras

- MathematicsIntegral Equations and Operator Theory
- 2018

We describe KMS and ground states arising from a generalized gauge action on ultragraph C*-algebras. We focus on ultragraphs that satisfy Condition (RFUM), so that we can use the partial crossed…

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