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.
|Number of pages||14|
|Journal||Houston Journal of Mathematics|
|State||Published - 2004|
- Bratteli diagram
- Bratteli-Vershik system
- One-dimensional generalized solenoid