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

Trent Yeend*

*Corresponding author for this work

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

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
Volume57
Issue number1
Publication statusPublished - Dec 2007
Externally publishedYes

Keywords

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

Fingerprint Dive into the research topics of 'Groupoid models for the C*-algebras of topological higher-rank graphs'. Together they form a unique fingerprint.

Cite this