- Title
- Coverings of k-graphs
- Creator
- Pask, David; Quigg, J.; Raeburn, Iain
- Relation
- Journal of Algebra Vol. 289, no. 1, p. 161-191
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2005
- Description
- 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.
- Subject
- k-graph; small category; covering; fundamental group; c*-algebra; coaction; c-asterisk-algebras; higher-rank graphs; crossed-products; directed-graphs; coactions; bundles
- Identifier
- uon:420
- Identifier
- http://hdl.handle.net/1959.13/25301
- Identifier
- ISSN:1090-266X
- Language
- eng
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