Hostname: page-component-76fb5796d-r6qrq Total loading time: 0 Render date: 2024-04-27T10:16:18.060Z Has data issue: false hasContentIssue false
  • English
  • Français

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)
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)