On diagonal actions of branch groups and the corresponding characters

DOI10.1016/j.jfa.2018.02.016zbMath1494.20010arXiv1412.5476OpenAlexW2964104331MaRDI QIDQ1709717

Artem Dudko, Rostislav I. Grigorchuk

Publication date: 6 April 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5476

zbMATH Keywords

characterbranch groupfactor representationnon-free action

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Dynamical aspects of measure-preserving transformations (37A05) Groups acting on trees (20E08)

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Cites Work

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• Nonfree actions of countable groups and their characters
• Finite factor representations of Higman-Thompson groups.
• Some topics in the dynamics of group actions on rooted trees.
• Invariant random subgroups of the free group
• On Burnside's problem on periodic groups
• Die unzerlegbaren Charaktere einiger diskreter Gruppen
• On characters of inductive limits of symmetric groups.
• On representations of the infinite symmetric group
• Operator-algebraic superridigity for \(\mathrm{SL}_{n}(\mathbb Z)\), \(n \geq 3\)
• Positivedefinite functions on Chevalley groups
• Character rigidity for special linear groups.
• On rings of operators. IV
• DEGREES OF GROWTH OF FINITELY GENERATED GROUPS, AND THE THEORY OF INVARIANT MEANS
• Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. II
• Totally nonfree actions and infinite symmetric group