Published October 2017
| Version public
Journal Article
On the classification problem of free ergodic actions of nonamenable groups
Creators
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1.
University of Münster
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2.
California Institute of Technology
Abstract
We show that, for any countable discrete nonamenable group Γ, the relations of conjugacy, orbit equivalence, stable orbit equivalence, von Neumann equivalence, and stable von Neumann equivalence of free ergodic pmp actions of Γ on the standard atomless probability space are not Borel. This answers a question of Kechris.
Additional Information
© 2017 Académie des sciences. Published by Elsevier Masson SAS. Received 30 July 2017, Accepted 3 October 2017, Available online 17 October 2017. Partially funded by SFB878 Groups, Geometry and Actions, and by a postdoctoral fellowship from the Humboldt Foundation. Partially supported by the NSF Grant DMS-1600186.Additional details
Additional titles
- Alternative title
- Sur le problème de la classification des actions libres ergodiques de groupes discrets non moyennables
Identifiers
- Eprint ID
- 82458
- Resolver ID
- CaltechAUTHORS:20171018-130628507
Funding
- Deutsche Forschungsgemeinschaft (DFG)
- SFB 878
- Alexander von Humboldt Foundation
- NSF
- DMS-1600186
Dates
- Created
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2017-10-18Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field