Geodesic
Factors of ergodic group extensions of rotations
Studia Mathematica, Tome 103 (1992) no. 2, pp. 123-131

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-103-2-123-131
Keywords: group extension

Jan Kwiatkowski 1

1 
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Jan Kwiatkowski. Factors of ergodic group extensions of rotations. Studia Mathematica, Tome 103 (1992) no. 2, pp. 123-131. doi: 10.4064/sm-103-2-123-131

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