KMS states on the C*-algebras of non-principal groupoids

Details KMS states on the C*-algebras of non-principal groupoids KMS states on the C*-algebras of non-principal groupoids

2011-06-29

arxiv.org/abs/1106.5912v1

Mathematics

Operator Algebras

12 pages; subsumes the earlier preprint "Traces on crossed products" arXiv:1010.0600

Scientific paper

We describe KMS-states on the C*-algebras of etale groupoids in terms of measurable fields of traces on the C*-algebras of the isotropy groups. We use this description to analyze tracial states on the transformation groupoid C*-algebras and to give a short proof of recent results of Cuntz, Deninger and Laca on the Toeplitz algebras of the ax+b semigroups of the rings of integers in number fields.

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