C*-equivalences of graphs

D. Drinen, N. Sieben

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

Several relations on graphs, including primitive equivalence, explosion equivalence and strong shift equivalence, are examined and shown to preserve either the graph groupoid, a construction of Kumjian, Pask, Raeburn, and Renault, or the groupoid of a pointed version of the graph. Thus these relations preserve either the isomorphism class or the Morita equivalence class of the graph C*-algebra, as defined by Kumjian, Pask, and Raeburn.

Original languageEnglish (US)
Pages (from-to)209-229
Number of pages21
JournalJournal of Operator Theory
Volume45
Issue number1
StatePublished - Jan 1 2001
Externally publishedYes

Keywords

  • Explosion
  • Graph C*-algebra
  • Graph groupoid
  • Primitive equivalence
  • Strong shift equivalence

ASJC Scopus subject areas

  • Algebra and Number Theory

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