Amenable purely infinite actions on the non-compact Cantor set
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🧮 math.DS
keywords
amenablecantorinfinitenon-compactpurelyactionactionsadmits
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We prove that any countable non-amenable group G admits a free minimal amenable purely infinite action on the non-compact Cantor set. This answers a question of Kellerhals, Monod and R{\o}rdam.
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