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math.OA2011★ 6 cited
Measure continuous derivations on von Neumann algebras and applications to L^2-cohomology
Vadim Alekseev, David Kyed
We prove that norm continuous derivations from a von Neumann algebra into the algebra of operators affiliated with its tensor square are automatically continuous for both the stron…
math.OA2011★ 4 cited
Amenability and vanishing of L^2-Betti numbers: an operator algebraic approach
Vadim Alekseev, David Kyed
We recast the Foelner condition in an operator algebraic setting and prove that it implies a certain dimension flatness property. Furthermore, it is proven that the Foelner conditi…