Resumen de Bratteli-Vershik systems for one-dimensional generalized solenoids

Inhyeop Yi

• 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.