Rigidity of the measurable structure for algebraic actions of higher rank abelian groups

Details Rigidity of the measurable structure for algebraic actions of higher rank abelian groups Rigidity of the measurable structure for algebraic actions of higher rank abelian groups

2002-07-16

arxiv.org/abs/math/0207137v1

Mathematics

Dynamical Systems

Scientific paper

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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