Journal article
Cocycle and orbit equivalence superrigidity for coinduced actions
Ergodic theory and dynamical systems, Vol.38(7), pp.2644-2665
10/2018
DOI: 10.1017/etds.2016.134
Abstract
We prove a cocycle superrigidity theorem for a large class of coinduced actions. In particular, if is a subgroup of a countable group, we consider a probability measure preserving action and let be the coinduced action. Assume either that has property (T) or that is amenable and is a product of non-amenable groups. Using Popa's deformation/rigidity theory we prove is -cocycle superrigid, that is any cocycle for this action to a (e.g. countable) group is cohomologous to a homomorphism from Γ to μ.
Details
- Title: Subtitle
- Cocycle and orbit equivalence superrigidity for coinduced actions
- Creators
- DANIEL Drimbe - University of California, San Diego
- Resource Type
- Journal article
- Publication Details
- Ergodic theory and dynamical systems, Vol.38(7), pp.2644-2665
- Publisher
- Cambridge University Press
- DOI
- 10.1017/etds.2016.134
- ISSN
- 0143-3857
- eISSN
- 1469-4417
- Number of pages
- 22
- Language
- English
- Date published
- 10/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984696651002771
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