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

Sorin Popa; Stefaan Vaes

arxiv: 1401.1186 · v2 · pith:MAEV33JOnew · submitted 2014-01-06 · 🧮 math.OA

Vanishing of the first continuous L²-cohomology for II₁ factors

Sorin Popa , Stefaan Vaes This is my paper

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keywords cohomologycontinuousfactorsfirstalwaysconnes-shlyakhtenkoproposedprove

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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.

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Vanishing of the first continuous L²-cohomology for II₁ factors

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