On the topological full group of a minimal Cantor Z^2-system

Details On the topological full group of a minimal Cantor Z^2-system On the topological full group of a minimal Cantor Z^2-system

2011-12-31

arxiv.org/abs/1201.0257v2

Mathematics

Dynamical Systems

3 pages (some comments added)

Scientific paper

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 Z^2-action for which the topological
full group contains a non-abelian free group.

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