Geodesic
On measure theoretical analogues of the Takesaki structure theorem for type III factors
Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 485-493.

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

The orbit equivalence of type $III_{0}$ ergodic equivalence relations is considered. We show that it is equivalent to the outer conjugacy problem for the natural trace-scaling action of a countable dense ℝ-subgroup by automorphisms of the Radon-Nikodym skew product extensions of these relations. A similar result holds for the weak equivalence of arbitrary type $III_{0}$ cocycles with values in Abelian groups.
DOI : 10.4064/cm-84/85-2-485-493

Alexandre Danilenko 1 ; Toshihiro Hamachi 1

1 
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Alexandre Danilenko; Toshihiro Hamachi. On measure theoretical analogues of the Takesaki structure theorem for type III factors. Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 485-493. doi : 10.4064/cm-84/85-2-485-493. http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-485-493/

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