Group actions on labeled graphs and their C*-algebras
Operator Algebras
2013-05-17 v3 Functional Analysis
Abstract
We introduce the notion of the action of a group on a labeled graph and the quotient object, also a labeled graph. We define a skew product labeled graph and use it to prove a version of the Gross-Tucker theorem for labeled graphs. We then apply these results to the -algebra associated to a labeled graph and provide some applications in nonabelian duality.
Cite
@article{arxiv.1106.1484,
title = {Group actions on labeled graphs and their C*-algebras},
author = {Teresa Bates and David Pask and Paulette Willis},
journal= {arXiv preprint arXiv:1106.1484},
year = {2013}
}
Comments
18 pages, updated version