On the bounded cohomology of ergodic group actions

Jon Aaronson; Benjamin Weiss

doi:10.1007/s11854-020-0123-6

On the bounded cohomology of ergodic group actions

Jon Aaronson
, Benjamin Weiss^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this note we show existence of bounded, continuous, transitive cocycles over a transitive action by homeomorphisms of any finitely generated group on a Polish space, and bounded, measurable, ergodic cocycles over any ergodic, probability-preserving action of ℤ^d.

Original language	English
Pages (from-to)	1-21
Number of pages	21
Journal	Journal d'Analyse Mathematique
Volume	141
Issue number	1
DOIs	https://doi.org/10.1007/s11854-020-0123-6
State	Published - Sep 2020

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© 2020, The Hebrew University of Jerusalem.

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On the bounded cohomology of ergodic group actions

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