Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows
Downarowicz, T. ; Lacroix, Y.
Studia Mathematica, Tome 129 (1998), p. 149-170 / Harvested from The Polish Digital Mathematics Library
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Let (Z,TZ) be a minimal non-periodic flow which is either symbolic or strictly ergodic. Any topological extension of (Z,TZ) is Borel isomorphic to an almost 1-1 extension of (Z,TZ). Moreover, this isomorphism preserves the affine-topological structure of the invariant measures. The above extends a theorem of Furstenberg-Weiss (1989). As an application we prove that any measure-preserving transformation which admits infinitely many rational eigenvalues is measure-theoretically isomorphic to a strictly ergodic toeplitz flow.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:216549 
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Downarowicz, T.; Lacroix, Y. Almost 1-1 extensions of Furstenberg-Weiss type and applications to Toeplitz flows. Studia Mathematica, Tome 129 (1998) pp. 149-170. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv130i2p149bwm/

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