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.
Keywords:
present example rank one partially mixing mathbb action which possesses non rigid factor which weak closure theorem fails sharp contrast one dimensional actions which cannot display type behavior
Affiliations des auteurs :
Tomasz Downarowicz
1
;
Jacek Serafin
1
1
Institute of Mathematics and Computer Science Wroc/law University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wroc/law, Poland
Tomasz Downarowicz; Jacek Serafin. Phenomena in rank-one $\mathbb Z^2$-actions. Studia Mathematica, Tome 192 (2009) no. 3, pp. 281-294. doi: 10.4064/sm192-3-5
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title = {Phenomena in rank-one $\mathbb Z^2$-actions},
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