Rigidity for von Neumann algebras and their invariants

Details Rigidity for von Neumann algebras and their invariants Rigidity for von Neumann algebras and their invariants

2010-08-21

arxiv.org/abs/1008.3610v1

Proceedings of the International Congress of Mathematicians (Hyderabad, India, 2010), Vol. III, Hindustan Book Agency, 2010, p

Mathematics

Operator Algebras

ICM 2010 Proceedings text

Scientific paper

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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