Co-induction and invariant random subgroups

DOI10.4171/GGD/517zbMath1447.37006arXiv1806.08590WikidataQ127924456 ScholiaQ127924456MaRDI QIDQ2286347

Vibeke Quorning, Alexander S. Kechris

Publication date: 22 January 2020

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.08590

zbMATH Keywords

weak mixinginvariant random subgroupssmall cancellationco-induction

Mathematics Subject Classification ID

Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15) Extensions, wreath products, and other compositions of groups (20E22) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) General groups of measure-preserving transformations and dynamical systems (37A15) Cancellation theory of groups; application of van Kampen diagrams (20F06) Measurable group actions (22F10)

Related Items (3)

Faithful invariant random subgroups in acylindrically hyperbolic groups ⋮ On dense totipotent free subgroups in full groups ⋮ Weak containment of measure-preserving group actions

Cites Work

• Amenable invariant random subgroups
• Universal groups of intermediate growth and their invariant random subgroups
• Stability and invariant random subgroups
• Kesten's theorem for invariant random subgroups.
• Invariant random subgroups of groups acting on rooted trees
• Multiplication of weak equivalence classes may be discontinuous

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