McDuff superrigidity for group II1 factors
Abstract
Developing new techniques at the interface of geometric group theory and von Neumann algebras, we identify the first examples of ICC groups G whose von Neumann algebras are McDuff and exhibit a new rigidity phenomenon, termed McDuff superrigidity: an arbitrary group H satisfying L(H) L(G) decomposes as H G× A for an ICC amenable group A.
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