Bratteli-Vershik systems for one-dimensional generalized solenoids

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

Original languageEnglish
Pages (from-to)691-704
Number of pages14
JournalHouston Journal of Mathematics
Issue number3
StatePublished - 2004


  • Bratteli diagram
  • Bratteli-Vershik system
  • One-dimensional generalized solenoid


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