Groupoid models for the C*-algebras of topological higher-rank graphs

Trent Yeend*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

51 Citations (Scopus)


We provide groupoid models for Toeplitz and Cuntz-Krieger algebras of topological higher-rank graphs. Extending groupoid models used in the theory of graph algebras and topological dynamical systems to our setting, we prove results on essential freeness and amenability of the groupoids which capture the existing theory, and extend results involving group crossed products of graph algebras.

Original languageEnglish
Pages (from-to)95-120
Number of pages26
JournalJournal of Operator Theory
Issue number1
Publication statusPublished - Dec 2007
Externally publishedYes


  • Cuntz-Krieger algebra
  • graph algebra
  • groupoid
  • higher rank graph
  • topological graph


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