Journal d'Analyse Mathématique

, Volume 129, Issue 1, pp 165–196 | Cite as

Characteristic factors for commuting actions of amenable groups

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Abstract

We describe characteristic factors for certain averages arising from commuting actions of locally compact second-countable amenable groups. Under some ergodicity assumptions, we use these factors to prove a form of multiple recurrence for three such actions.

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© Hebrew University Magnes Press 2016

Authors and Affiliations

  1. 1.Department of MathematicsThe Ohio State UniversityColumbusUSA

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