Higher-rank graph C*-algebras

an inverse semigroup and groupoid approach

Cynthia Farthing, Paul S. Muhly, Trent Yeend

Research output: Contribution to journalArticle

54 Citations (Scopus)


We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theorem for the Cuntz-Krieger algebra.

Original languageEnglish
Pages (from-to)159-187
Number of pages29
JournalSemigroup Forum
Issue number2
Publication statusPublished - 2005
Externally publishedYes


  • Cuntz-Krieger algebra
  • graph algebra
  • groupoid
  • higher-rank graph
  • inverse semigroup

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