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arXiv · 1303.6373

On the ergodic theory of certain non-discrete actions and topological orbit equivalences

Julio C. Rebelo
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Abstract

Quasi-invariant measures for non-discrete groups of diffeomorphisms containing a Morse-Smale dynamics are studied. The assumption concerning the presence of a Morse-Smale dynamics allows us to extend to higher dimensions a number of recently established results for non-discrete groups acting on the circle. These results are also applied to show that, for many groups as above, every continuous orbit equivalence must coincide almost everywhere with a diffeomorphism of the corresponding manifold.

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Julio C. Rebelo. 2013-03-26. On the ergodic theory of certain non-discrete actions and topological orbit equivalences. https://arxiv.org/abs/1303.6373

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