| Rigidity of the measurable structure for algebraic actions of higher-rank Abelian groups. Ergodic Theory Dynam (2005) | |||||||||||||||
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| Abstract. We investigate rigidity of measurable structure for higher rank abelian algebraic actions. In particular, we show that ergodic measures for these actions fiber over a 0 entropy measure with Haar measures along the leaves. We deduce various rigidity theorems for isomorphisms and joinings as corollaries. 1. | |||||||||||||||
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