Spatial models of Boolean actions and groups of isometries

DOI10.1017/S0143385709001138zbMath1230.37007OpenAlexW2078471869MaRDI QIDQ3002595

Slawomir Solecki, Aleksandra Kwiatkowska

Publication date: 20 May 2011

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385709001138

zbMATH Keywords

Hilbert's fifth problemgroups of isometriesmeasure-preserving Boolean actions

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Topological groups (topological aspects) (54H11)

Related Items (4)

A Boolean action of \(C(M, U(1))\) without a spatial model and a re-examination of the Cameron-Martin theorem ⋮ Abelian pro-countable groups and orbit equivalence relations ⋮ On Polish groups admitting non-essentially countable actions ⋮ On the pointwise implementation of near-actions

Cites Work

• Unnamed Item
• Unnamed Item
• The automorphism group of the Gaussian measure cannot act pointwise
• Isometry groups of separable metric spaces
• Compact metrizable groups are isometry groups of compact metric spaces
• Spatial and non-spatial actions of Polish groups

This page was built for publication: Spatial models of Boolean actions and groups of isometries