Hostname: page-component-78c5997874-m6dg7 Total loading time: 0 Render date: 2024-11-06T01:22:53.079Z Has data issue: false hasContentIssue false
  • English
  • Français

The enveloping semigroup of projective flows

Published online by Cambridge University Press:  19 September 2008

Robert Ellis
Robert Ellis
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA
Get access Rights & Permissions [Opens in a new window]

Abstract

The enveloping semigroup of a flow (X, T) has been used to study its dynamical properties. In this paper a detailed study is made of the class of enveloping semigroups which arise in the study of flows where T is a subgroup of GL(V) and X is the associated projective space, P(V).

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 13 , Issue 4 , December 1993 , pp. 635 - 660
Copyright
Copyright © Cambridge University Press 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Borel, A.. Density properties for certain subgroups of semisimple Lie groups without compact factors. Ann. Math. 72 (1960), 179–188.CrossRefGoogle Scholar
[2]Borel, A.. Introduction aux Groups Arithmétiques. Hermann, Paris, 1969.Google Scholar
[3]Dokken, D.. μ-Harmonic functions on locally compact groups. J. D'analyse Math. 52 (1989).Google Scholar
[4]Ellis, R.. Lectures on Topological Dynamics. Benjamin, New York, 1969.Google Scholar
[5]Furstenberg, H.. Rigidity and cocydes for ergodic actions of semisimple groups (after Margulis, G.A. and Zimmer, R.). Séminaire Bourbaki 559 (1979/1980).Google Scholar
[6]Hochschild, G.. The Structure of Lie Groups. Holden-Day, San Francisco, 1965.Google Scholar
[7]Humphreys, J. E.. Linear Algebraic Groups. Springer, New York, 1987.Google Scholar
[8]Moore, C.. Amenable subgroups of semisimple groups and proximal flows. Israel J. Math. 34 (1979), 121–138.CrossRefGoogle Scholar
[9]Zimmer, R.. Ergodic Theory Semisimple Groups. Birkhauser, Boston, 1984.CrossRefGoogle Scholar