Weak Closure Theorem fails for ${\Bbb Z}^2$-actions
Volume 153 / 2002
Studia Mathematica 153 (2002), 115-125
MSC: 37A05, 37A15, 37A35.
DOI: 10.4064/sm153-2-2
Abstract
We construct an example of a Morse ${{\mathbb Z}}^2$-action which has rank one and whose centralizer contains elements which cannot be weakly approximated by the transformations of the action.