Rigidity for von Neumann algebras and their invariants
Operator Algebras
2010-08-24 v1 Dynamical Systems
Group Theory
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.
Keywords
Cite
@article{arxiv.1008.3610,
title = {Rigidity for von Neumann algebras and their invariants},
author = {Stefaan Vaes},
journal= {arXiv preprint arXiv:1008.3610},
year = {2010}
}
Comments
ICM 2010 Proceedings text