Journal article
W∗-superrigidity for coinduced actions
International journal of mathematics, Vol.29(4), p.1850033
04/2018
DOI: 10.1142/S0129167X18500337
Abstract
We prove W[Formula: see text]-superrigidity for a large class of coinduced actions. We prove that if [Formula: see text] is an amenable almost-malnormal subgroup of an infinite conjugagy class (icc) property (T) countable group [Formula: see text], the coinduced action [Formula: see text] from an arbitrary probability measure preserving action [Formula: see text] is W[Formula: see text]-superrigid. We also prove a similar statement if [Formula: see text] is an icc non-amenable group which is measure equivalent to a product of two infinite groups. In particular, we obtain that any Bernoulli action of such a group [Formula: see text] is W[Formula: see text]-superrigid.
Details
- Title: Subtitle
- W∗-superrigidity for coinduced actions
- Creators
- Daniel Drimbe - University of California San Diego
- Resource Type
- Journal article
- Publication Details
- International journal of mathematics, Vol.29(4), p.1850033
- DOI
- 10.1142/S0129167X18500337
- ISSN
- 0129-167X
- eISSN
- 1793-6519
- Language
- English
- Date published
- 04/2018
- Academic Unit
- Mathematics
- Record Identifier
- 9984696652502771
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