2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161489k-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 7.1Operator AlgebrasCombinatorics46L55 (Primary); 05C20, 14H30, 18D99 (Secondary)text