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arXiv · 2006.13293

A multiplicative ergodic theorem for von Neumann algebra valued cocycles

Lewis Bowen·Ben Hayes·Yuqing·Lin
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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.

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Lewis Bowen, Ben Hayes, Yuqing, Lin. 2020-06-23. A multiplicative ergodic theorem for von Neumann algebra valued cocycles. https://doi.org/10.1007/s00220-021-04043-9

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