| Rigidity of the measurable structure for algebraic actions of higher rank abelian groups (2002) | |||||||||
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. | |||||||||
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