Geodesic
Realizing invariant random subgroups as stabilizer distributions
Simon Thomas1 orcid
1Rutgers University, Piscataway, USA
Groups, geometry, and dynamics, Tome 18 (2024) no. 1, pp. 353-360

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DOI

Suppose that ν is an ergodic invariant random subgroup of a countable group G such that [NG​(H):H]=n<∞ for ν-a.e. H∈Sub. In this paper, we consider the question of whether ν can be realized as the stabilizer distribution of an ergodic action G↷(X,μ) on a standard Borel probability space such that the stabilizer map x↦Gx​ is n-to-one.
DOI : 10.4171/ggd/757
Classification : 37-XX
Mots-clés : invariant random subgroup, cocycle

Simon Thomas  1

1 Rutgers University, Piscataway, USA 
Simon Thomas. Realizing invariant random subgroups as stabilizer distributions. Groups, geometry, and dynamics, Tome 18 (2024) no. 1, pp. 353-360. doi: 10.4171/ggd/757
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