A theorem of measurable rigidity in \(\text{Diff}^\omega(\mathbb{S}^1)\) (Q2757018)

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scientific article; zbMATH DE number 1675676
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A theorem of measurable rigidity in \(\text{Diff}^\omega(\mathbb{S}^1)\)
scientific article; zbMATH DE number 1675676

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    1 April 2002
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    measurable rigidity
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    diffeomorphisms of the circle
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    A theorem of measurable rigidity in \(\text{Diff}^\omega(\mathbb{S}^1)\) (English)
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    The author considers subgroups of the analytic diffeomorphisms of the circle which are non-solvable and which admit a finite generating set close to the identity. He shows that measurable conjugacies between two such groups are (up to finite coverings) a.e. analytic diffeomorphisms of the circle.
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