Phenomena in rank-one $\mathbb Z^2$-actions
Volume 192 / 2009
Studia Mathematica 192 (2009), 281-294
MSC: 37A05, 37A15, 37A35.
DOI: 10.4064/sm192-3-5
Abstract
We present an example of a rank-one partially mixing $\mathbb Z^2$-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.
