Approximately transitive dynamical systems and simple spectrum

El Houcein El Abdalaoui (1) , Mariusz Lemanczyk (2)

1 LMRS - Laboratoire de Mathématiques Raphaël Salem
2 Faculty of Mathematics and Computer Science

For some countable discrete torsion Abelian groups we give examples of their finite measure-preserving actions which have simple spectrum and no approximate transitivity property.

Mots clés: ergodic theory; dynamical system; AT propert; funny rank one; Haar spectrum

Domaines: Systèmes dynamiques [math.DS]

El Houcein El Abdalaoui, Mariusz Lemanczyk. Approximately transitive dynamical systems and simple spectrum. 2009. ⟨hal-00470162⟩