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15 August 2013 Some unique group-measure space decomposition results
Ionut Chifan, Jesse Peterson
Duke Math. J. 162(11): 1923-1966 (15 August 2013). DOI: 10.1215/00127094-2331230

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,Γ2CR, then any free, ergodic, measure-preserving action on a probability space Γ1×Γ2X 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.

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Ionut Chifan. Jesse Peterson. "Some unique group-measure space decomposition results." Duke Math. J. 162 (11) 1923 - 1966, 15 August 2013. https://doi.org/10.1215/00127094-2331230

Information

Published: 15 August 2013
First available in Project Euclid: 8 August 2013

zbMATH: 1284.46050
MathSciNet: MR3090781
Digital Object Identifier: 10.1215/00127094-2331230

Subjects:
Primary: 46L36
Secondary: 37A15

Rights: Copyright © 2013 Duke University Press

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Vol.162 • No. 11 • 15 August 2013
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