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

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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.
23 pages, uses XY-pic. Version published in Semigroup Forum

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Operator Algebras, 46L05 (Primary) 20M18, 22A22 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/100882

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0409505
 http://arxiv.org/abs/math/0409505
 Semigroup Forum, Vol. 71 (2005), 159 -- 187

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