Bratteli-Vershik systems for one-dimensional generalized solenoids

• Autores: Inhyeop Yi
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 30, Nº 3, 2004, págs. 691-704
• Idioma: inglés
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• Resumen

  • Let ¿ : X ? X be an edge-wrapping rule which presents a one-dimensional generalized solenoid X, and let M be the adjacency matrix of ¿. When X is a wedge of circles, ¿ leaves the unique branch point fixed, and ¿ is orientation preserving, we show that the Bratteli-Vershik map naturally associated to ¿ is topologically conjugate to the return map of the flow on X to a certain cross section.