Ultragraph C*-algebras via topological quivers
Operator Algebras
2008-04-25 v2
Abstract
Given an ultragraph in the sense of Tomforde, we construct a topological quiver in the sense of Muhly and Tomforde in such a way that the universal C*-algebras associated to the two objects coincide. We apply results of Muhly and Tomforde for topological quiver algebras and of Katsura for topological graph C*-algebras to study the K-theory and gauge-invariant ideal structure of ultragraph C*-algebras.
Keywords
Cite
@article{arxiv.math/0611318,
title = {Ultragraph C*-algebras via topological quivers},
author = {Takeshi Katsura and Paul S. Muhly and Aidan Sims and Mark Tomforde},
journal= {arXiv preprint arXiv:math/0611318},
year = {2008}
}
Comments
20 pages, Version 2 Comments: final version to appear in Studia Math