C*-equivalences of graphs

D. Drinen, Nandor Sieben

Research output: Contribution to journalArticle

8 Citations (Scopus)

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 - 2001
Externally publishedYes

Fingerprint

Groupoid
Equivalence
Graph in graph theory
Graph C*-algebra
Morita Equivalence
Isomorphism Classes
Equivalence class
Explosion

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

C*-equivalences of graphs. / Drinen, D.; Sieben, Nandor.

In: Journal of Operator Theory, Vol. 45, No. 1, 2001, p. 209-229.

Research output: Contribution to journalArticle

Drinen, D & Sieben, N 2001, 'C*-equivalences of graphs', Journal of Operator Theory, vol. 45, no. 1, pp. 209-229.
Drinen, D. ; Sieben, Nandor. / C*-equivalences of graphs. In: Journal of Operator Theory. 2001 ; Vol. 45, No. 1. pp. 209-229.
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