Higher-Rank Graph C -Algebras: An Inverse Semigroup and Groupoid Approach

Higher-Rank Graph C -Algebras: An Inverse Semigroup and Groupoid Approach

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.

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Veröffentlicht in:Semigroup forum 2005, Vol.71 (2), p.159-187
Hauptverfasser: Farthing, Cynthia, Muhly, Paul S., Yeend, Trent
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Semigroups
Uniqueness theorems
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Zusammenfassung: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.
ISSN:0037-1912
1432-2137
DOI:10.1007/s00233-005-0512-2