Amenable invariant random subgroups

Bader, Uri;Duchesne, Bruno;Lécureux, Jean;Wesolek, Phillip
(2016) Israel Journal of Mathematics — Vol. 213, n° 1, p. 399-422 (2016)

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Authors
  • Bader, UriTechnion—Israel Institute of Technology
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  • Duchesne, BrunoUniversité de Lorraine
    Author
  • Lécureux, JeanUniversité Paris-Sud 11
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  • Wesolek, PhillipUCLouvain
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Abstract
We show that an amenable Invariant Random Subgroup of a locally compact second countable group lives in the amenable radical. This answers a question raised in the introduction of [2]. We also consider an opposite direction, property (T), and prove a similar statement for this property.
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Bader, U., Duchesne, B., Lécureux, J., & Wesolek, P. (2016). Amenable invariant random subgroups. Israel Journal of Mathematics, 213(1), 399-422. https://doi.org/10.1007/s11856-016-1324-7 (Original work published 2016)