Approximately transitive dynamical systems and simple spectrum

2010/04/06 by E. H. El Abdalaoui, Abdalaoui, E. H. El, M. Lemanczyk +1
Mathematics · #37A25 #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS #msc:37A25

paper · pdf · doi:10.48550/arxiv.1004.0940

9 pages, Key words and phrases: ergodic theory, dynamical system, AT property, funny rank one, Haar spectrum

arxiv created 2010/04/06 · arxiv updated 2010/04/07

Abstract

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.

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