On cocycle superrigidity for Gaussian actions
Operator Algebras
2010-03-24 v2 Group Theory
Abstract
We present a general setting to investigate U_fin-cocycle superrigidity for Gaussian actions in terms of closable derivations on von Neumann algebras. In this setting we give new proofs to some U_fin-cocycle superrigidity results of S. Popa and we produce new examples of this phenomenon. We also use a result of K. Schmidt to give a necessary cohomological condition on a group representation in order for the resulting Gaussian action to be U_fin-cocycle superrigid.
Cite
@article{arxiv.0910.3958,
title = {On cocycle superrigidity for Gaussian actions},
author = {Jesse Peterson and Thomas Sinclair},
journal= {arXiv preprint arXiv:0910.3958},
year = {2010}
}
Comments
Generalized Theorem 3.1 and added Theorem 5.3.