Ultragraph C -algebras via topological quivers

@article{Katsura2006UltragraphC,
title={Ultragraph C -algebras via topological quivers},
author={Takeshi Katsura and Paul S. Muhly and Aidan Sims and Mark Tomforde},
journal={Studia Mathematica},
year={2006},
volume={187},
pages={137-155}
}
• Published 10 November 2006
• Mathematics
• Studia Mathematica
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.
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