The C*-algebras of finitely aligned higher-rank graphs

Iain Raeburn*, Aidan Sims, Trent Yeend

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

77 Citations (Scopus)

Abstract

We generalise the theory of Cuntz-Krieger families and graph algebras to the class of finitely aligned k-graphs. This class contains in particular all row-finite k-graphs. The Cuntz-Krieger relations for non-row-finite k-graphs look significantly different from the usual ones, and this substantially complicates the analysis of the graph algebra. We prove a gauge-invariant uniqueness theorem and a Cuntz-Krieger uniqueness theorem for the C*-algebras of finitely aligned k-graphs.

Original languageEnglish
Pages (from-to)206-240
Number of pages35
JournalJournal of Functional Analysis
Volume213
Issue number1
DOIs
Publication statusPublished - 1 Aug 2004
Externally publishedYes

Keywords

  • Cuntz-Krieger algebra
  • graph algebra
  • uniqueness

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