Moscow Mathematical Journal
Volume 14, Issue 2, April–June 2014 pp. 385–423.
On the Higher Ergodic Theory of Certain Non-Discrete Actions
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. The last section of this
paper discusses the connection between these results and a few interesting questions about rigidity of continuous and non-continuous orbit
equivalences for many groups as above. 2010 Mathematics Subject Classification. 37F35, 37A99, 22F10.
Authors:
Julio C. Rebelo
Author institution:Institut de Mathématiques de Toulouse, Université de Toulouse, 118 Route de Narbonne F-31062, Toulouse, FRANCE
Summary:
Keywords: Non-discrete groups, topological rigidity, quasi-invariant measures.
Contents
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