KMS weights on groupoid and graph C*-algebras
Operator Algebras
2013-06-24 v1
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.
Keywords
Cite
@article{arxiv.1306.5118,
title = {KMS weights on groupoid and graph C*-algebras},
author = {Klaus Thomsen},
journal= {arXiv preprint arXiv:1306.5118},
year = {2013}
}
Comments
26 pages, 2 figures