Infoscience

Journal article

On the topological full group of a minimal Cantor Z2-system

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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