English

Approximate conjugacy and full groups of Cantor minimal systems

Dynamical Systems 2007-05-23 v1

Abstract

H. Lin and the author introduced the notion of approximate conjugacy of dynamical systems. In this paper, we will discuss the relationship between approximate conjugacy and full groups of Cantor minimal systems. An analogue of Glasner-Weiss's theorem will be shown. Approximate conjugacy of dynamical systems on the product of the Cantor set and the circle will also be studied.

Cite

@article{arxiv.math/0404224,
  title  = {Approximate conjugacy and full groups of Cantor minimal systems},
  author = {Hiroki Matui},
  journal= {arXiv preprint arXiv:math/0404224},
  year   = {2007}
}

Comments

20 pages

R2 v1 2026-07-22T17:04:20.363Z