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On Livsic's Theorem, Superrigidity, and Anosov Actions of Semisimple Lie Groups

Edward R. Goetze·Ralf J. Spatzier
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Abstract

We prove a generalization of Livsic's Theorem on the vanishing of the cohomology of certain types of dynamical systems. As a consequence, we strengthen a result due to Zimmer concerning algebraic hulls of Anosov actions of semisimple Lie groups. Combining this with Topological Superrigidity, we find a Holder geometric structure for multiplicity free Anosov actions.

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BibTeXRIS

Edward R. Goetze, Ralf J. Spatzier. 1996-06-21. On Livsic's Theorem, Superrigidity, and Anosov Actions of Semisimple Lie Groups. https://arxiv.org/abs/dg-ga/9606009

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