On invariant random subgroups of block-diagonal limits of symmetric groups

DOI10.1090/proc/14323zbMath1417.37040arXiv1711.01653OpenAlexW2767253664MaRDI QIDQ5377063

Kostya Medynets, Artem Dudko

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.01653

zbMATH Keywords

topological dynamicslocally finite groupsinvariant random subgroups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Ergodic theory on groups (22D40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10)

Related Items (2)

Measures and stabilizers of group Cantor actions ⋮ Invariant random subgroups of groups acting on rooted trees

Cites Work

• Nonfree actions of countable groups and their characters
• Characters on the full group of an ergodic hyperfinite equivalence relation
• Invariant random subgroups of inductive limits of finite alternating groups
• Full groups of Cantor minimal systems
• On characters of inductive limits of symmetric groups.
• Kesten's theorem for invariant random subgroups.
• Finite rank Bratteli diagrams: Structure of invariant measures
• Invariant random subgroups of strictly diagonal limits of finite symmetric groups
• Stabilizers of ergodic actions of lattices and commensurators
• POSITIVE DEFINITE FUNCTIONS OF DIAGONAL LIMITS OF FINITE ALTERNATING GROUPS
• ORDERED BRATTELI DIAGRAMS, DIMENSION GROUPS AND TOPOLOGICAL DYNAMICS
• Totally nonfree actions and infinite symmetric group
• Measure Theory
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