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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-2-3,
author = {Takeshi Katsura and Paul S. Muhly and Aidan Sims and Mark Tomforde},
title = {Ultragraph C*-algebras via topological quivers},
journal = {Studia Mathematica},
volume = {187},
year = {2008},
pages = {137-155},
zbl = {1160.46034},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-2-3}
}
Takeshi Katsura; Paul S. Muhly; Aidan Sims; Mark Tomforde. Ultragraph C*-algebras via topological quivers. Studia Mathematica, Tome 187 (2008) pp. 137-155. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm187-2-3/