Geodesic
Phenomena in rank-one $\mathbb Z^2$-actions
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
Studia Mathematica, Tome 192 (2009) no. 3, pp. 281-294 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm192-3-5
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

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 
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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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