Ultragraph C*-algebras via topological quivers

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

Research output: Contribution to journalArticle

7 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 languageEnglish
Pages (from-to)137-155
Number of pages19
JournalStudia Mathematica
Volume187
Issue number2
DOIs
Publication statusPublished - 2008

Fingerprint

Quiver
C*-algebra
Graph C*-algebra
Topological Graph
K-theory
Gauge
Algebra
Invariant
Object

Keywords

  • C*-algebras
  • Topological graphs
  • Ultragraphs

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ultragraph C*-algebras via topological quivers. / Katsura, Takeshi; Muhly, Paul S.; Sims, Aidan; Tomforde, Mark.

In: Studia Mathematica, Vol. 187, No. 2, 2008, p. 137-155.

Research output: Contribution to journalArticle

Katsura, T, Muhly, PS, Sims, A & Tomforde, M 2008, 'Ultragraph C*-algebras via topological quivers', Studia Mathematica, vol. 187, no. 2, pp. 137-155. https://doi.org/10.4064/sm187-2-3
Katsura, Takeshi ; Muhly, Paul S. ; Sims, Aidan ; Tomforde, Mark. / Ultragraph C*-algebras via topological quivers. In: Studia Mathematica. 2008 ; Vol. 187, No. 2. pp. 137-155.
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