A multiplicative ergodic theorem for von Neumann algebra valued cocycles
Operator Algebras
2021-03-31 v2 Dynamical Systems
Abstract
The classical Multiplicative Ergodic Theorem (MET) of Oseledets is generalized here to cocycles taking values in a semi-finite von Neumann algebra. This allows for a continuous Lyapunov distribution.
Cite
@article{arxiv.2006.13293,
title = {A multiplicative ergodic theorem for von Neumann algebra valued cocycles},
author = {Lewis Bowen and Ben Hayes and Yuqing and Lin},
journal= {arXiv preprint arXiv:2006.13293},
year = {2021}
}
Comments
This new version contains more examples, an appendix on diffuse von Neumann algebras and a glossary