Approximate conjugacy and full groups of Cantor minimal systems

Details Approximate conjugacy and full groups of Cantor minimal systems Approximate conjugacy and full groups of Cantor minimal systems

2004-04-12

arxiv.org/abs/math/0404224v1

Mathematics

Dynamical Systems

20 pages

Scientific paper

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.

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