Simplicity of finitely-aligned k-graph C*-algebras

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It is shown that no local periodicity is equivalent to the aperiodicity condition for arbitrary finitely-aligned k-graphs. This allows us to conclude that C*(Λ) is simple if and only if Λis cofinal and has no local periodicity.
12 pages

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Operator Algebras, 46L05 (Primary), 05C99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/172456

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.4567
 http://arxiv.org/abs/0810.4567

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arXiv