Fundamental groupoids of k-graphs
| dc.creator | Pask, David | |
| dc.creator | Quigg, John | |
| dc.creator | Raeburn, Iain | |
| dc.date | 2004-01-03 | |
| dc.date.accessioned | 2026-07-07T05:04:20Z | |
| dc.date.available | 2026-07-07T05:04:20Z | |
| 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 a theory of the fundamental groupoid of a k-graph, and relate it to the fundamental groupoid of an associated graph called the 1-skeleton. We also explore the failure, in general, of k-graphs to faithfully embed into their fundamental groupoids. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/math/0401016 | |
| dc.identifier | http://arxiv.org/abs/math/0401016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69767 | |
| dc.subject | Combinatorics | |
| dc.subject | Operator Algebras | |
| dc.subject | 05C20 (Primary); 18D99 (Secondary) | |
| dc.title | Fundamental groupoids of k-graphs | |
| dc.type | text |