Some unique group-measure space decomposition results

I. Chifan; J Peterson

doi:10.1215/00127094-2331230

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Some unique group-measure space decomposition results

Journal article

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Some unique group-measure space decomposition results

I. Chifan and J Peterson

Duke Mathematical Journal, Vol.162(11), pp.1923-1966

2013

DOI: 10.1215/00127094-2331230

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https://arxiv.org/pdf/1010.5194View

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Abstract

Using an approach emerging from the theory of closable derivations on von Neumann algebras, we exhibit a class of groups CR satisfying the following property: given any groups Γ1; , Γ2 ∈ CR, then any free, ergodic, measure-preserving action on a probability space Γ1; , Γ2 → X gives rise to a von Neumann algebra with a unique group-measure space Cartan subalgebra. Pairing this result with Popa's orbit equivalence superrigidity theorem we obtain new examples of W*-superrigid actions. © 2013.

Details

Title: Subtitle: Some unique group-measure space decomposition results
Creators: I. Chifan
J Peterson
Resource Type: Journal article
Publication Details: Duke Mathematical Journal, Vol.162(11), pp.1923-1966
DOI: 10.1215/00127094-2331230
ISSN: 0012-7094
Language: English
Date published: 2013
Academic Unit: Mathematics
Record Identifier: 9984230407702771

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