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Página principal > Artículos > Artículos publicados > Skew-product for group-valued edge labellings of Bratteli diagrams |
Fecha: | 2009 |
Resumen: | We associate a Cantor dynamical system to a non-properly ordered Bratteli diagram. 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 con- struct 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) --> B. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió publicada |
Materia: | Cantor minimal system ; Bratteli diagram ; Substitutional system |
Publicado en: | Publicacions matemàtiques, V. 53 n. 2 (2009) p. 329-354, ISSN 2014-4350 |
26 p, 251.0 KB |