Published September 2017
| Version Submitted
Journal Article
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Invariant random subgroups and action versus representation maximality
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
Files
1608.01331.pdf
Additional details
Identifiers
- Eprint ID
- 79000
- Resolver ID
- CaltechAUTHORS:20170712-091809776
Related works
- Describes
- https://arxiv.org/abs/1608.01331 (URL)
Funding
- NSF
- DMS-1464475
Dates
- Created
-
2017-07-12Created from EPrint's datestamp field
- Updated
-
2021-11-15Created from EPrint's last_modified field
Caltech Custom Metadata
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- Mathematics Department