Rigidity of measurable structure for Z d -actions by automorphisms of a torus (2009)
Anatole Katok, Svetlana Katok, Klaus Schmidt, Dedicated Olga, Taussky Todd
Abstract. 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;...