Phenomena in rank-one ℤ²-actions
Tomasz Downarowicz ; Jacek Serafin
Studia Mathematica, Tome 192 (2009), p. 281-294 / Harvested from The Polish Digital Mathematics Library
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We present an example of a rank-one partially mixing ℤ²-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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:284464 
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     title = {Phenomena in rank-one $\mathbb{Z}$$^2$-actions},
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     year = {2009},
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     zbl = {1169.37001},
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Tomasz Downarowicz; Jacek Serafin. Phenomena in rank-one ℤ²-actions. Studia Mathematica, Tome 192 (2009) pp. 281-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm192-3-5/