Actions of ${\mathbb Z}^k$ associated to higher rnak graphs
| dc.creator | Kumjian, Alex | |
| dc.creator | Pask, David | |
| dc.date | 2001-12-05 | |
| dc.date | 2002-12-19 | |
| dc.date.accessioned | 2026-07-07T04:45:01Z | |
| dc.date.available | 2026-07-07T04:45:01Z | |
| dc.description | An action of ${\mathbb Z}^k$ is associated to a higher rank graph $Λ$ satisfying a mild assumption. This generalises the construction of a topological Markov shift arising from a nonnegative integer matrix. We show that the stable Ruelle algebra of $Λ$ is strongly Morita equivalent to $C^*(Λ)$. Hence, if $Λ$ satisfies the aperiodicity condition, the stable Ruelle algebra is simple, stable and purely infinite. | |
| dc.description | Sixteen pages with no figures. To appear Ergodic Theory and Dynamical Systems | |
| dc.identifier | https://arxiv.org/abs/math/0112049 | |
| dc.identifier | http://arxiv.org/abs/math/0112049 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62824 | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L05; 46L55 | |
| dc.title | Actions of ${\mathbb Z}^k$ associated to higher rnak graphs | |
| dc.type | text |