Coverings of k-graphs
| dc.creator | Pask, David | |
| dc.creator | Quigg, John | |
| dc.creator | Raeburn, Iain | |
| dc.date | 2004-01-03 | |
| dc.date | 2008-05-23 | |
| dc.date.accessioned | 2026-07-07T09:40:27Z | |
| dc.date.available | 2026-07-07T09:40:27Z | |
| dc.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. | |
| dc.description | Corrected a minor error in the proof of Theorem 7.1 | |
| dc.identifier | https://arxiv.org/abs/math/0401017 | |
| dc.identifier | http://arxiv.org/abs/math/0401017 | |
| dc.identifier | J. Algebra 289 (2005), 161-191 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/161489 | |
| dc.subject | Operator Algebras | |
| dc.subject | Combinatorics | |
| dc.subject | 46L55 (Primary); 05C20, 14H30, 18D99 (Secondary) | |
| dc.title | Coverings of k-graphs | |
| dc.type | text |