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Published September 2017 | Submitted
Journal Article Open

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.

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