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Classification and rigidity for von Neumann algebras (1212.0453v1)

Published 3 Dec 2012 in math.OA, math.DS, and math.FA

Abstract: In this talk, I will survey recent progress made on the classification of von Neumann algebras arising from countable groups and their actions on probability spaces. In particular, I will present the first results which provide classes of (superrigid) groups and actions that can be entirely reconstructed from their von Neumann algebras.

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