JournalsprimsVol. 41, No. 3pp. 695–722

Approximate Conjugacy and Full Groups of Cantor Minimal Systems

  • Hiroki Matui

    Chiba University, Japan
Approximate Conjugacy and Full Groups of Cantor Minimal Systems cover
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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 this article

Hiroki Matui, Approximate Conjugacy and Full Groups of Cantor Minimal Systems. Publ. Res. Inst. Math. Sci. 41 (2005), no. 3, pp. 695–722

DOI 10.2977/PRIMS/1145475227