Fundamental groupoids of k-graphs

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k-graphs are higher-rank analogues of directed graphs which were first developed to provide combinatorial models for operator algebras of Cuntz-Krieger type. Here we develop a theory of the fundamental groupoid of a k-graph, and relate it to the fundamental groupoid of an associated graph called the 1-skeleton. We also explore the failure, in general, of k-graphs to faithfully embed into their fundamental groupoids.
12 pages

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Combinatorics, Operator Algebras, 05C20 (Primary); 18D99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/69767

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401016
 http://arxiv.org/abs/math/0401016

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arXiv