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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/64523We 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.Dynamical SystemsRigidity of the measurable structure for algebraic actions of higher rank abelian groupstext