Ultragraph C*-algebras via topological quivers

Takeshi Katsura; Paul S. Muhly; Aidan Sims; Mark Tomforde

doi:10.4064/sm187-2-3

Ultragraph C*-algebras via topological quivers

Takeshi Katsura, Paul S. Muhly, Aidan Sims, Mark Tomforde

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

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.

Original language	English
Pages (from-to)	137-155
Number of pages	19
Journal	Studia Mathematica
Volume	187
Issue number	2
DOIs	https://doi.org/10.4064/sm187-2-3
Publication status	Published - 2008

Keywords

C*-algebras
Topological graphs
Ultragraphs

ASJC Scopus subject areas

General Mathematics

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10.4064/sm187-2-3

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AU - Katsura, Takeshi

AU - Muhly, Paul S.

AU - Sims, Aidan

AU - Tomforde, Mark

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N2 - 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.

AB - 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.

KW - C-algebras

KW - Topological graphs

KW - Ultragraphs

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Ultragraph C*-algebras via topological quivers

Abstract

Keywords

ASJC Scopus subject areas

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