Published September 2017
| Submitted
Journal Article
Open
Invariant random subgroups and action versus representation maximality
- Creators
- Burton, Peter J.
-
Kechris, Alexander S.
Abstract
We show that weak containment of free ergodic measure-preserving actions of F∞ is not equivalent to weak containment of the corresponding Koopman representations. This result is based on the construction of an invariant random subgroup of F∞ which is supported on the maximal actions.
Additional Information
© 2017 American Mathematical Society. Received by the editors August 25, 2016 and, in revised form, October 12, 2016. Article electronically published on April 7, 2017. Research partially supported by NSF Grant DMS-1464475.Attached Files
Submitted - 1608.01331.pdf
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Additional details
- Eprint ID
- 79000
- Resolver ID
- CaltechAUTHORS:20170712-091809776
- NSF
- DMS-1464475
- Created
-
2017-07-12Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field