A Note on Uniformly Bounded Cocycles into Finite Von Neumann Algebras
-
Published:2018-06-01
Issue:2
Volume:61
Page:236-239
-
ISSN:0008-4395
-
Container-title:Canadian Mathematical Bulletin
-
language:en
-
Short-container-title:Can. math. bull.
Author:
Boutonnet Remi,Roydor Jean
Abstract
AbstractWe 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.
Publisher
Canadian Mathematical Society
Subject
General Mathematics