W∗-superrigidity for coinduced actions

Daniel Drimbe

doi:10.48550/arxiv.1711.04943

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W∗-superrigidity for coinduced actions

Daniel Drimbe

ArXiv.org

Cornell University

05/28/2018

DOI: 10.48550/arxiv.1711.04943

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https://doi.org/10.1142/S0129167X18500337View

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https://doi.org/10.48550/arxiv.1711.04943View

Preprint (Author's original)This preprint has not been evaluated by subject experts through peer review. Preprints may undergo extensive changes and/or become peer-reviewed journal articles. Open Access

Abstract

We prove W∗-superrigidity for a large class of coinduced actions. We prove that if Σ is an amenable almost-malnormal subgroup of an infinite conjugagy class (icc) property (T) countable group Γ, the coinduced action Γ↷X from an arbitrary probability measure preserving action Σ↷X0 is W∗-superrigid. We also prove a similar statement if Γ 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 Γ is W∗-superrigid.

Mathematics - Dynamical Systems

Mathematics - Functional Analysis

Mathematics - Operator Algebras

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Title: Subtitle: W∗-superrigidity for coinduced actions
Creators: Daniel Drimbe
Resource Type: Preprint
Publication Details: ArXiv.org
Publisher: Cornell University; Ithaca, New York
DOI: 10.48550/arxiv.1711.04943
ISSN: 2331-8422
Language: English
Date posted: 05/28/2018
Academic Unit: Mathematics
Record Identifier: 9984696837602771

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W∗-superrigidity for coinduced actions

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