Constructions of torsion-free countable, amenable, weakly mixing groups

DOI10.4171/LEM/61-3/4-3zbMath1382.20034arXiv1405.7605MaRDI QIDQ330024

Rostyslav V. Kravchenko, Rostislav I. Grigorchuk, Alexander Yu. Ol'shanskii

Publication date: 24 October 2016

Published in: L'Enseignement Mathématique. 2e Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7605

zbMATH Keywords

wreath productvariety of groupsverbal subgroupminimally almost periodic grouporderable grouptorsion-free groupweakly mixing groupWM group

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26) Ordered groups (group-theoretic aspects) (20F60) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15)

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Generic algebraic properties in spaces of enumerated groups ⋮ Connectedness and Gaussian parts for compact quantum groups

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