Duke Mathematical Journal

Strictly non-ergodic actions on homogeneous spaces

S. G. Dani

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Article information

Source
Duke Math. J., Volume 47, Number 3 (1980), 633-639.

Dates
First available in Project Euclid: 20 February 2004

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1077314186

Digital Object Identifier
doi:10.1215/S0012-7094-80-04739-0

Mathematical Reviews number (MathSciNet)
MR587171

Zentralblatt MATH identifier
0447.28019

Subjects
Primary: 22E40: Discrete subgroups of Lie groups [See also 20Hxx, 32Nxx]
Secondary: 46L99: None of the above, but in this section

Citation

Dani, S. G. Strictly non-ergodic actions on homogeneous spaces. Duke Math. J. 47 (1980), no. 3, 633--639. doi:10.1215/S0012-7094-80-04739-0. https://projecteuclid.org/euclid.dmj/1077314186


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References

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  • [2] S. G. Dani, Spectrum of an affine transformation, Duke Math. J. 44 (1977), no. 1, 129–155.
  • [3] E. G. Effros, Transformation groups and $C\sp\ast$-algebras, Ann. of Math. (2) 81 (1965), 38–55.
  • [4] J. Glimm, Locally compact transformation groups, Trans. Amer. Math. Soc. 101 (1961), 124–138.
  • [5] G. Hochschild, The structure of Lie groups, Holden-Day Inc., San Francisco, 1965.
  • [6] G. W. Mackey, The theory of unitary group representations, University of Chicago Press, Chicago, Ill., 1976.
  • [7] C. C. Moore, Ergodicitiy of flows on homogeneous spaces, Amer. J. Math. 88 (1966), 154–178.
  • [8] M. S. Raghunathan, Discrete subgroups of Lie groups, Springer-Verlag, New York, 1972.
  • [9] M. A. Rieffel, Regularly related lattices in Lie groups, Duke Math. J. 45 (1978), no. 3, 691–699.
  • [10] V. S. Varadarajan, Lie groups, Lie algebras, and their representations, Prentice-Hall Inc., Englewood Cliffs, N.J., 1974.