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Minimal model-universal flows for locally compact Polish groups

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Abstract

Let G be a locally compact Polish group. A metrizable G-flow Y is called model-universal if by considering the various invariant probability measures on Y, we can recover every free action of G on a standard Lebesgue space up to isomorphism. Weiss has shown that for countable G, there exists a minimal, model-universal flow. In this paper, we extend this result to all locally compact Polish groups.

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Authors and Affiliations

  1. Université Claude Bernard - Lyon 1, 43 boulevard du 11 novembre 1918, 69622, Villeurbanne, France

    Colin Jahel & Andy Zucker

Authors
  1. Colin Jahel
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  2. Andy Zucker
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Corresponding author

Correspondence to Andy Zucker.

Additional information

C. Jahel and A. Zucker were partially supported by the ANR project AGRUME (ANR-17-CE40-0026).

A. Zucker was supported by NSF Grant no. DMS 1803489.

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Jahel, C., Zucker, A. Minimal model-universal flows for locally compact Polish groups. Isr. J. Math. 244, 743–758 (2021). https://doi.org/10.1007/s11856-021-2189-y

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  • DOI: https://doi.org/10.1007/s11856-021-2189-y

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