Geodesic
A Note on Uniformly Bounded Cocycles into Finite Von Neumann Algebras
Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 236-239

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DOI

We give a short proof of a result of T. Bates and T. Giordano stating that any uniformly bounded Borel cocycle into a finite von Neumann algebra is cohomologous to a unitary cocycle. We also point out a separability issue in their proof. Our approach is based on the existence of a non-positive curvature metric on the positive cone of a finite von Neumann algebra.
DOI : 10.4153/CMB-2017-078-9
Mots-clés : 46L55, 46L40, 22D40, Borel cocycle, von Neumann algebra 
Boutonnet, Remi; Roydor, Jean. A Note on Uniformly Bounded Cocycles into Finite Von Neumann Algebras. Canadian mathematical bulletin, Tome 61 (2018) no. 2, pp. 236-239. doi: 10.4153/CMB-2017-078-9
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     author = {Boutonnet, Remi and Roydor, Jean},
     title = {A {Note} on {Uniformly} {Bounded} {Cocycles} into {Finite} {Von} {Neumann} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {236--239},
     year = {2018},
     volume = {61},
     number = {2},
     doi = {10.4153/CMB-2017-078-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-078-9/}
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