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On the topological full group of a minimal Cantor Z^2-system
Published 31 Dec 2011 in math.DS and math.GR | (1201.0257v2)
Abstract: Grigorchuk and Medynets recently announced that the topological full group of a minimal Cantor Z-action is amenable. They asked whether the statement holds for all minimal Cantor actions of general amenable groups as well. We answer in the negative by producing a minimal Cantor Z2-action for which the topological full group contains a non-abelian free group.
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