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Displaying similar documents to “Compact Lie Group Actions with Isotropy Subgroups of Maximal Rank.”

Phenomena in rank-one ℤ²-actions

Tomasz Downarowicz, Jacek Serafin (2009)

Studia Mathematica

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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.