Displaying similar documents to “Minimality and unique ergodicity for subgroup actions”

Factors of ergodic group extensions of rotations

Jan Kwiatkowski (1992)

Studia Mathematica

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Diagonal metric subgroups of the metric centralizer C ( T φ ) of group extensions are investigated. Any diagonal compact subgroup Z of C ( T φ ) is determined by a compact subgroup Y of a given metric compact abelian group X, by a family v y : y Y , of group automorphisms and by a measurable function f:X → G (G a metric compact abelian group). The group Z consists of the triples ( y , F y , v y ) , y ∈ Y, where F y ( x ) = v y ( f ( x ) ) - f ( x + y ) , x ∈ X.