Vanishing of the first continuous L^2-cohomology for II_1 factors

Abstract

We prove that the continuous version of the Connes-Shlyakhtenko first L^2-cohomology for II_1 factors, as proposed by A. Thom in [Th06], always vanishes.

v2: minor changes, final version, to appear in IMRN

References in corpus (1)

• On the first continuous $L^2$-cohomology of free group factors

Cited by in corpus (2)

• On ergodic embeddings of factors
• $L^2$-homology for inclusions of von Neumann algebras