On Exel-Pardo algebras

Research output: Contribution to journalArticle

2 Citations (Scopus)

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

Fingerprint

Topological Graph
Cuntz Algebra
Locally Compact Group
Discrete Group
Finite Graph
Cocycle
Directed Graph
C*-algebra
Correspondence
Analogue
Algebra
Generalise

Keywords

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

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

On Exel-Pardo algebras. / Bédos, Erik; Kaliszewski, Steven; Quigg, John.

In: Journal of Operator Theory, Vol. 78, No. 2, 2017, p. 309-345.

Research output: Contribution to journalArticle

Bédos, Erik ; Kaliszewski, Steven ; Quigg, John. / On Exel-Pardo algebras. In: Journal of Operator Theory. 2017 ; Vol. 78, No. 2. pp. 309-345.
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