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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Robertson, D. Characteristic factors for commuting actions of amenable groups. JAMA 129, 165–196 (2016). https://doi.org/10.1007/s11854-016-0019-7
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DOI: https://doi.org/10.1007/s11854-016-0019-7