Elek, GaborMonod, Nicolas2012-01-262012-01-262012-01-26201310.1090/S0002-9939-2013-11654-0https://infoscience.epfl.ch/handle/20.500.14299/77253WOS:000326575400023Grigorchuk 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.text::journal::journal article::research article