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An example of an amenable action from geometry

Published online by Cambridge University Press:  19 September 2008

R. J. Spatzier
R. J. Spatzier
Affiliation:
Department of Mathematics, State University of New York at Stony Brook, Stony Brook, NY 11794, USA
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Abstract

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Let M be a compact manifold of not necessarily constant negative curvature. We observe that π1(M) acts amenably on the sphere at infinity of the universal cover of M with respect to a natural measure class. We also note that this action is of type III1.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 2 , June 1987 , pp. 289 - 293
Copyright
Copyright © Cambridge University Press 1987

References

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