Coverings 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 the theory of covering spaces for k-graphs, obtaining a satisfactory version of the usual topological classification in terms of subgroups of a fundamental group. We then use this classification to describe the C*-algebras of covering k-graphs as crossed products by coactions of homogeneous spaces, generalizing recent results on the C*-algebras of graphs.
Corrected a minor error in the proof of Theorem 7.1

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Operator Algebras, Combinatorics, 46L55 (Primary); 05C20, 14H30, 18D99 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/161489

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0401017
 http://arxiv.org/abs/math/0401017
 J. Algebra 289 (2005), 161-191

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arXiv