Correction and extension of “Measurable quotients of unipotent translations on homogeneous spaces”
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- Trans. Amer. Math. Soc. 349 (1997), 4685-4688 Request permission
Abstract:
The statements of Main Theorem 1.1 and Theorem 2.1 of the author’s paper [Trans. Amer. Math. Soc. 345 (1994), 577–594] should assume that $\Gamma$ is discrete and $G$ is connected. (Corollaries 1.3, 5.6, and 5.8 are affected similarly.) These restrictions can be removed if the conclusions of the results are weakened to allow for the possible existence of transitive, proper subgroups of $G$. In this form, the results can be extended to the setting where $G$ is a product of real and $p$-adic Lie groups.References
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- G. A. Margulis and G. M. Tomanov, Invariant measures for actions of unipotent groups over local fields on homogeneous spaces, Invent. Math. 116 (1994), no. 1-3, 347–392. MR 1253197, DOI 10.1007/BF01231565
- Marina Ratner, Raghunathan’s conjectures for Cartesian products of real and $p$-adic Lie groups, Duke Math. J. 77 (1995), no. 2, 275–382. MR 1321062, DOI 10.1215/S0012-7094-95-07710-2
- Dave Witte, Measurable quotients of unipotent translations on homogeneous spaces, Trans. Amer. Math. Soc. 345 (1994), no. 2, 577–594. MR 1181187, DOI 10.1090/S0002-9947-1994-1181187-4
Additional Information
- Dave Witte
- Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, Oklahoma 74078
- Email: dwitte@math.okstate.edu
- Received by editor(s): July 1, 1996
- © Copyright 1997 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 349 (1997), 4685-4688
- MSC (1991): Primary 22E40, 28C10, 58F11; Secondary 22D40, 22E35, 28D15
- DOI: https://doi.org/10.1090/S0002-9947-97-02049-7
- MathSciNet review: 1443896