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

Voir la notice de l'article provenant de la source Cambridge University Press

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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