Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493422 | Journal of Algebra | 2005 | 31 Pages |
Abstract
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 Câ-algebras of covering k-graphs as crossed products by coactions of homogeneous spaces, generalizing recent results on the Câ-algebras of graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
David Pask, John Quigg, Iain Raeburn,