Skew-product for group-valued edge labellings of Bratteli diagrams
El Kacimi, Aziz (Université de Valenciennes (França))
Parthasarathy, Rajagopalan (Tata Institute of Fundamental Research (India). School of Mathematics)

Date:	2009
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Cantor minimal system ; Bratteli diagram ; Substitutional system
Published in:	Publicacions matemàtiques, V. 53 n. 2 (2009) p. 329-354, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/140681
DOI: 10.5565/PUBLMAT_53209_03

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