Article contents
Endomorphisms of measured equivalence relations, cocycles with values in non-locally compact groups and applications
Published online by Cambridge University Press: 01 June 1999
Abstract
Consider a class of Polish groups arising from the subclass of amenable locally compact ones via operations of countable projective limit and group extensions. We show that for each group from this class there exists a cocycle of an ergodic transformation with dense range in it. This is applied to extend and provide a short (orbital) proof for one of the main results from [ALV] on non-coalescence of some ergodic skew product extensions.
- Type
- Research Article
- Information
- Copyright
- 1999 Cambridge University Press
- 1
- Cited by