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Rigidity for von Neumann algebras and their invariants (1008.3610v1)
Published 21 Aug 2010 in math.OA, math.DS, and math.GR
Abstract: We give a survey of recent classification results for crossed product von Neumann algebras arising from measure preserving group actions on probability spaces. This includes II_1 factors with uncountable fundamental groups and the construction of W*-superrigid actions where the crossed product entirely remembers the initial group action that it was constructed from.
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