Rigidity of Measurable Structure for Z^d-Actions By Automorphisms of a Torus (2000)
The Erwin, Schrodinger International Boltzmanngasse, For Z, Anatole Katok, Anatole Katok, Svetlana Katok, ...
. We show that for certain classes of actions of Z d ; d 2, by automorphisms of the torus any measurable conjugacy has to be affine, hence measurable conjugacy implies algebraic conjugacy; similarly...