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A theorem of measurable rigidity in Diff ^{\omega} (\mathbb{S}^1)}
Published online by Cambridge University Press: 02 October 2001
Abstract
We consider measurable conjugacies between two non-solvable subgroups G_1, G_2 of the group of analytic diffeomorphisms of the circle which admit a finite generating set close to the identity. These measurable conjugacies are characterized by our main result which asserts that, up to finite coverings, they coincide almost everywhere with an analytic diffeomorphism of the circle.
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- 2001 Cambridge University Press
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