Abstract
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 language | English |
|---|---|
| Pages (from-to) | 691-704 |
| Number of pages | 14 |
| Journal | Houston Journal of Mathematics |
| Volume | 30 |
| Issue number | 3 |
| State | Published - 2004 |
Keywords
- Bratteli diagram
- Bratteli-Vershik system
- One-dimensional generalized solenoid