The action of $SL(2,\mathbb {Z})$ on the subsets of $\mathbb {Z}^2$
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- by Su Gao
- Proc. Amer. Math. Soc. 129 (2001), 1507-1512
- DOI: https://doi.org/10.1090/S0002-9939-00-05721-X
- Published electronically: October 25, 2000
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Abstract:
We prove that the orbit equivalence relation of the canonical action of $SL(2,\mathbb {Z})$ on the subsets of $\mathbb {Z}^2$ is a universal countable Borel equivalence relation.References
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Bibliographic Information
- Su Gao
- Affiliation: Department of Mathematics, California Institute of Technology, Pasadena, California 91125
- MR Author ID: 347662
- Email: sugao@its.caltech.edu
- Received by editor(s): June 21, 1999
- Received by editor(s) in revised form: August 30, 1999
- Published electronically: October 25, 2000
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1507-1512
- MSC (2000): Primary 03E15, 15A36; Secondary 20A10, 20E05
- DOI: https://doi.org/10.1090/S0002-9939-00-05721-X
- MathSciNet review: 1814177