When universal edge-colored directed graph $C^*$-algebras are exact
Operator Algebras
2016-05-13 v3
Abstract
We consider when the universal -algebras associated to edge-colored directed graphs are exact. Specifically, for countable edge-colored directed graphs we show that the universal -algebra is exact if and only if the -algebra is isomorphic to a graph -algebra which occurs precisely when the universal and reduced -algebras of the edge-colored directed graph are isomorphic.
Keywords
Cite
@article{arxiv.1307.5801,
title = {When universal edge-colored directed graph $C^*$-algebras are exact},
author = {Benton Duncan},
journal= {arXiv preprint arXiv:1307.5801},
year = {2016}
}
Comments
14 pages, a complete revision which corrects errors in Propositions 1, 3, and 5 and throughout subsection 5.1 of the previous version. The errors in Propositions 3 and 5 were pointed out by an anonymous referee whose comments also significantly improved the exposition. Comments welcome