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On lattices acting on boundaries of semi-simple groups

Published online by Cambridge University Press:  19 September 2008

R. J. Spatzier
R. J. Spatzier
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA
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Abstract

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It is shown that for a lattice Γ in a semi-simple group of real rank 1 the action on the boundary always admits an equivariant topological Γ-factor. We also show that there are no such factors for SL (n, ℤ) acting on ℙn−1, n≥3.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 1 , Issue 4 , December 1981 , pp. 489 - 494
Copyright
Copyright © Cambridge University Press 1981

References

REFERENCES

[1]Dani, S. G. & Raghavan, S.. Orbits of Euclidean frames under discrete linear groups. Israel J. Math. 36 (1980), 300–320.Google Scholar
[2]Eberlein, P. & O'Neil, B.. Visibility manifolds. Pacific J. Math. 46 (1973), 45–109.Google Scholar
[3]Margulis, G. A.. Quotient groups of discrete subgroups and measure theory. Func. Anal. Appl. 12 (1978), 295–305.Google Scholar
[4]Margulis, G. A.. Finiteness of quotient groups of discrete subgroups. Func. Anal. Appl. 13 (1979), 178–187.CrossRefGoogle Scholar
[5]Milnor, J.. Morse Theory. Annals of Math. Studies no. 51. Princeton University Press: New Jersey, 1963.Google Scholar
[6]Mostow, G.. Strong Rigidity of Locally Symmetric Spaces. Annals of Math. Studies no. 78. Princeton University Press: New Jersey, 1973.Google Scholar
[7]Zimmer, R. J.. Equivariant images of projective space under the action of SL (n, ℤ). Ergod. Th. and Dynam. Sys. 1 (1981), 519–522.Google Scholar