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Operator Algebra and Noncommutative Geometry Seminar Series
October 5, 2017 @ 3:30 pm - 4:30 pm
Dr Zahra Afsar (UOW)
KMS states on the C*-algebras of Fell Bundles over groupoids, II
We consider fibrewise singly generated Fell-bundles over \’etale 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.
In this talk which is a joint work with Aidan Sims, I will talk about the Kubo-Martin-Schwinger equilibrium states (KMS states) for the above 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 traces on the C*-algebras of the restrictions of the Fell bundle to the isotropy subgroups of the groupoid.