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arXiv · 1306.5118

KMS weights on groupoid and graph C*-algebras

Klaus Thomsen
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Abstract

The paper contains a description of the KMS weights for the one-parameter action on the reduced C*-algebra of a second countable locally compact Hausdorff etale groupoid, arising from a continuous real valued homomorphism satisfying two conditions. The results are subsequently applied to identify the KMS weights for the gauge action on a simple graph algebra. The von Neumann algebra generated by the GNS-representation of an extremal KMS weight is a factor, and tools are developed to determine its type. The paper concludes with three examples to illustrate the results.

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Klaus Thomsen. 2013-06-21. KMS weights on groupoid and graph C*-algebras. https://arxiv.org/abs/1306.5118

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