On Exel-Pardo algebras

Erik Bédos; Steven Kaliszewski; John Quigg

doi:10.7900/jot.2016aug16.2118

On Exel-Pardo algebras

Erik Bédos, Steven Kaliszewski, John Quigg

Mathematical and Statistical Sciences, School of (SoMSS)

Research output: Contribution to journal › Article › peer-review

4 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 language	English (US)
Pages (from-to)	309-345
Number of pages	37
Journal	Journal of Operator Theory
Volume	78
Issue number	2
DOIs	https://doi.org/10.7900/jot.2016aug16.2118
State	Published - 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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10.7900/jot.2016aug16.2118

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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.",

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AU - Kaliszewski, Steven

AU - Quigg, John

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AB - 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.

KW - C-correspondences

KW - Cocycles

KW - Cuntz-Pimsner algebras

KW - Graphs

KW - Groups

KW - Self-similarity

KW - Toeplitz algebras

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ER -

On Exel-Pardo algebras

Abstract

Keywords

ASJC Scopus subject areas

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