Ultragraph C*-algebras via topological quivers

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

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8 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

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Keywords

  • C*-algebras
  • Topological graphs
  • Ultragraphs

ASJC Scopus subject areas

  • Mathematics(all)

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