Displaying similar documents to “Affine Actions of Higher Rank Lattices.”

Remarks on affine complete distributive lattices

Dominic Zypen (2006)

Open Mathematics

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We characterise the Priestley spaces corresponding to affine complete bounded distributive lattices. Moreover we prove that the class of affine complete bounded distributive lattices is closed under products and free products. We show that every (not necessarily bounded) distributive lattice can be embedded in an affine complete one and that ℚ ∩ [0, 1] is initial in the class of affine complete lattices.

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.

* -actions on 3 are linearizable.

Kaliman, Shulim I., Koras, Mariusz, Makar-Limanov, Leonid, Russell, Peter (1997)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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