Adrian Ioana, Sorin Popa, Stefaan Vaes
We prove that for any group G in a fairly large class of generalized wreath product groups, the associated von Neumann algebra LG completely �remembers� the group G. More precisely, if LG is isomorphic to the von Neumann algebra L? of an arbitrary countable group ?, then ? must be isomorphic to G. This represents the first superrigidity result pertaining to group von Neumann algebras.
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