On Exel-Pardo algebras

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3 Scopus citations

Abstract

We generalize a recent construction of Exel and Pardo, from discrete groups acting on finite directed graphs to locally compact groups acting on topological graphs. To each cocycle for such an action, we construct a C*- correspondence whose associated Cuntz-Pimsner algebra is the analog of the Exel-Pardo C*-algebra.

Original languageEnglish (US)
Pages (from-to)309-345
Number of pages37
JournalJournal of Operator Theory
Volume78
Issue number2
DOIs
StatePublished - 2017

Keywords

  • C*-correspondences
  • Cocycles
  • Cuntz-Pimsner algebras
  • Graphs
  • Groups
  • Self-similarity
  • Toeplitz algebras

ASJC Scopus subject areas

  • Algebra and Number Theory

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