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A Note on Uniformly Bounded Cocycles into Finite Von Neumann Algebras
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2018