Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/25301

OpenURL Link
Title
Coverings of k-graphs
Author/Creator
Pask, David;  Quigg, J.;  Raeburn, Iain
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.
Relation
Journal of Algebra Vol. 289, no. 1, p. 161-191
Date
2005
Publisher
Academic Press
Keyword(s)
k-graph;  small category;  covering;  fundamental group;  c*-algebra;  coaction;  c-asterisk-algebras;  higher-rank graphs;  crossed-products;  directed-graphs;  coactions;  bundles
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/25301
Identifier
ISSN:1090-266X
Language
eng
Reviewed
Reviewed
11 Visitors 22 Hits 3 Downloads
Save/E-mail Citation
Citation Format
E-mail Address
Subject
"Journal of Algebra"
 
OR