Ergodic actions of Abelian groups and properties of their joint actions

DOI10.1007/BF02209171zbMath0695.47005OpenAlexW2014527852MaRDI QIDQ909955

Alexandre I. Danilenko, Valentin Ya. Golodets

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02209171

zbMATH Keywords

Lebesgue spaceergodic actioncontinuous unitary representationsnon-singular automorphismsseparable locally compact abelian groupsimultaneous action

Mathematics Subject Classification ID

Ergodic theory of linear operators (47A35) Ergodic theory on groups (22D40) General groups of measure-preserving transformations (28D15)

Cites Work

• Flows associated with ergodic non-singular transformation groups
• The Pointwise Ergodic Theorem for Amenable Groups
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