On the topological full group of a minimal Cantor 𝐙²-system-Reference-Cited by-同舟云学术

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

Published:2013-06-25 Issue:10 Volume:141 Page:3549-3552
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Elek Gábor,Monod Nicolas

Abstract

Grigorchuk and Medynets recently conjectured that the topological full group of a minimal Cantor Z \mathbf {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 \mathbf {Z}^2 -action for which the topological full group contains a non-abelian free group.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2013-141-10/S0002-9939-2013-11654-0/S0002-9939-2013-11654-0.pdf

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