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arxiv: 1304.1234 · v1 · pith:XA3JWMABnew · submitted 2013-04-04 · 🧮 math.DS

Global rigidity of higher rank Anosov algebraic actions

classification 🧮 math.DS
keywords actionsanosovinftyalgebraicautomorphismsconjugacyfactorglobal
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We show that all $C^\infty$ Anosov $Z^r$-actions on tori and nilmanifolds without rank-one factor actions are, up to $C^\infty$ conjugacy, actions by automorphisms.

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