Skew-product for group-valued edge labellings of Bratteli diagrams
| dc.creator | Kacimi, A. El | |
| dc.creator | Parthasarathy, R. | |
| dc.date | 2005-06-15 | |
| dc.date | 2006-02-01 | |
| dc.date.accessioned | 2026-07-07T06:42:26Z | |
| dc.date.available | 2026-07-07T06:42:26Z | |
| dc.description | Group valued edge labellings $λ$ of a Bratteli diagram $B$ give rise to a skew-product Bratteli diagram $B(λ)$ on which the group acts. The quotient by the group action of the associated dynamics can be a nontrivial extension of the dynamics of $B$. We exhibit a Bratteli diagram for this quotient and construct a morphism to $B$ with unique path lifting property. This is shown to be an isomorphism for the dynamics if a property `loops lifting to loops' is satisfied by $B(λ)\to B$. | |
| dc.description | 32 pages, 3 figures; Speculation at the end of previous version settled; some typos fixed | |
| dc.identifier | https://arxiv.org/abs/math/0506304 | |
| dc.identifier | http://arxiv.org/abs/math/0506304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102043 | |
| dc.subject | Dynamical Systems | |
| dc.subject | 37B10,54H20 | |
| dc.title | Skew-product for group-valued edge labellings of Bratteli diagrams | |
| dc.type | text |