Higher-rank graph C-algebras: an inverse semigroup and groupoid approach

Cynthia Farthing; Paul S Muhly; Trent Yeend

doi:10.48550/arxiv.math/0409505

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Higher-rank graph C-algebras: an inverse semigroup and groupoid approach

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Higher-rank graph C-algebras: an inverse semigroup and groupoid approach

Cynthia Farthing, Paul S Muhly and Trent Yeend

ArXiv.org

03/22/2006

DOI: 10.48550/arxiv.math/0409505

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Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

Semigroup Forum, Vol. 71 (2005), 159 -- 187 We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theorem for the Cuntz-Krieger algebra.

Mathematics - Operator Algebras

Details

Title: Subtitle: Higher-rank graph C-algebras: an inverse semigroup and groupoid approach
Creators: Cynthia Farthing
Paul S Muhly
Trent Yeend
Resource Type: Preprint
Publication Details: ArXiv.org
DOI: 10.48550/arxiv.math/0409505
ISSN: 2331-8422
Language: English
Date posted: 03/22/2006
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984398391002771

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