A multiplicative ergodic theorem for von Neumann algebra valued cocycles
arXiv:2006.13293 · doi:10.1007/s00220-021-04043-9
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.
This new version contains more examples, an appendix on diffuse von Neumann algebras and a glossary