Approximately transitive dynamical systems and simple spectrum

Details Approximately transitive dynamical systems and simple spectrum Approximately transitive dynamical systems and simple spectrum

2010-04-06

arxiv.org/abs/1004.0940v1

Mathematics

Dynamical Systems

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

Scientific paper

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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