Geodesic
On measure theoretical analogues of the Takesaki structure theorem for type III factors
Colloquium Mathematicum, Tome 84 (2000) no. 2, pp. 485-493 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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 
@article{10_4064_cm_84_85_2_485_493,
     author = {Alexandre Danilenko and Toshihiro Hamachi},
     title = {On measure theoretical analogues of the {Takesaki} structure theorem for type {III} factors},
     journal = {Colloquium Mathematicum},
     pages = {485--493},
     year = {2000},
     volume = {84},
     number = {2},
     doi = {10.4064/cm-84/85-2-485-493},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-485-493/}
}
TY  - JOUR
AU  - Alexandre Danilenko
AU  - Toshihiro Hamachi
TI  - On measure theoretical analogues of the Takesaki structure theorem for type III factors
JO  - Colloquium Mathematicum
PY  - 2000
SP  - 485
EP  - 493
VL  - 84
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-485-493/
DO  - 10.4064/cm-84/85-2-485-493
LA  - en
ID  - 10_4064_cm_84_85_2_485_493
ER  - 
%0 Journal Article
%A Alexandre Danilenko
%A Toshihiro Hamachi
%T On measure theoretical analogues of the Takesaki structure theorem for type III factors
%J Colloquium Mathematicum
%D 2000
%P 485-493
%V 84
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm-84/85-2-485-493/
%R 10.4064/cm-84/85-2-485-493
%G en
%F 10_4064_cm_84_85_2_485_493
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

Cité par Sources :