Strongly graded groupoid and directed graph algebras
Operator Algebras
2020-04-21 v2 Rings and Algebras
Abstract
We show the reduced -algebra of a graded ample groupoid is a strongly graded -algebra if and only if the corresponding Steinberg algebra is a strongly graded ring. We apply this result to get a theorem about the Leavitt path algebra and -algebra of an arbitrary graph.
Cite
@article{arxiv.2003.04443,
title = {Strongly graded groupoid and directed graph algebras},
author = {Lisa Orloff Clark and Ellis Dawson and Iain Raeburn},
journal= {arXiv preprint arXiv:2003.04443},
year = {2020}
}
Comments
In this version, minor corrections were made and references were added