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Standard orbit factors and entropy-free Vershik equivalence

Published online by Cambridge University Press:  02 April 2001

J. FELDMAN
J. FELDMAN
Affiliation:
Department of Mathematics, University of California, Berkeley, CA 94720, USA (e-mail: feldman@math.berkeley.edu)
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Abstract

1. Let ${\bf r}=(r_1,r_2,\dots)$ be a sequence of integers greater than one. Then every ${\bf r}$-adic reverse filtration has a maximal standard orbit factor.

2. For ‘entropy-free’ ${\bf r}$, $a\geqq 0$, and any free action $A$ of the group $G=(Z/r_1Z)+(Z/r_2Z)+\dotsb$, there is a free ergodic action $A'$ of $G$ with $h(A')=a$ and such that the reverse filtration produced by $A'$ is isomorphic to that produced by $A$.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 19 , Issue 2 , April 1999 , pp. 383 - 389
Copyright
1999 Cambridge University Press

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