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Speedups of ergodic group extensions.
- Source :
- Ergodic Theory & Dynamical Systems; Aug2013, Vol. 33 Issue 4, p969-982, 14p
- Publication Year :
- 2013
-
Abstract
- We prove that for all ergodic extensions $S_{1}$ of a transformation by a locally compact second countable group $G$, and for all $G$-extensions $ S_{2} $ of an aperiodic transformation, there is a relative speedup of $ S_{1} $ that is relatively isomorphic to $S_{2}$. We apply this result to give necessary and sufficient conditions for two ergodic $n$-point or countable extensions to be related in this way. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 01433857
- Volume :
- 33
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Ergodic Theory & Dynamical Systems
- Publication Type :
- Academic Journal
- Accession number :
- 89045926
- Full Text :
- https://doi.org/10.1017/S0143385712000107