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.
Publié le : 2010-08-21
Classification:
Mathematics - Operator Algebras,
Mathematics - Dynamical Systems,
Mathematics - Group Theory
@article{1008.3610,
author = {Vaes, Stefaan},
title = {Rigidity for von Neumann algebras and their invariants},
journal = {arXiv},
volume = {2010},
number = {0},
year = {2010},
language = {en},
url = {http://dml.mathdoc.fr/item/1008.3610}
}
Vaes, Stefaan. Rigidity for von Neumann algebras and their invariants. arXiv, Tome 2010 (2010) no. 0, . http://gdmltest.u-ga.fr/item/1008.3610/