The $C^*$-algebras of finitely aligned higher-rank graphs
| dc.creator | Raeburn, Iain | |
| dc.creator | Sims, Aidan | |
| dc.creator | Yeend, Trent | |
| dc.date | 2003-05-27 | |
| dc.date.accessioned | 2026-07-07T04:58:18Z | |
| dc.date.available | 2026-07-07T04:58:18Z | |
| dc.description | We generalise the theory of Cuntz-Krieger families and graph algebras to the class of finitely aligned $k$-graphs. This class contains in particular all row-finite $k$-graphs. The Cuntz-Krieger relations for non-row-finite $k$-graphs look significantly different from the usual ones, and this substantially complicates the analysis of the graph algebra. We prove a gauge-invariant uniqueness theorem and a Cuntz-Krieger uniqueness theorem for the $C^*$-algebras of finitely aligned $k$-graphs. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0305370 | |
| dc.identifier | http://arxiv.org/abs/math/0305370 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67581 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05 | |
| dc.title | The $C^*$-algebras of finitely aligned higher-rank graphs | |
| dc.type | text |