Entropy versus orbit equivalence for minimal homeomorphisms

M. Michael Boyle and David E. Handelman

Vol. 164 (1994), No. 1, 1–13

DOI: 10.2140/pjm.1994.164.1

Abstract

Every minimal homeomorphism of a Cantor set is strongly orbit equivalent to a homeomorphism of zero entropy. The dyadic adding machine is strongly orbit equivalent to homeomorphisms of all entropies.

Mathematical Subject Classification 2000

Primary: 28D05

Secondary: 28D20, 46L55

Milestones

Received: 25 March 1992

Revised: 20 March 1993

Published: 1 May 1994