Countable sections for locally compact group actions. II
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- by Alexander S. Kechris PDF
- Proc. Amer. Math. Soc. 120 (1994), 241-247 Request permission
Abstract:
In this paper we study the structure of the orbit equivalence relation induced by a Borel action of a second countable locally compact group on a standard Borel space.References
- John P. Burgess, A selection theorem for group actions, Pacific J. Math. 80 (1979), no. 2, 333–336. MR 539418
- R. Dougherty, S. Jackson, and A. S. Kechris, The structure of hyperfinite Borel equivalence relations, Trans. Amer. Math. Soc. 341 (1994), no. 1, 193–225. MR 1149121, DOI 10.1090/S0002-9947-1994-1149121-0
- Jacob Feldman, Peter Hahn, and Calvin C. Moore, Orbit structure and countable sections for actions of continuous groups, Adv. in Math. 28 (1978), no. 3, 186–230. MR 492061, DOI 10.1016/0001-8708(78)90114-7
- Jacob Feldman and Calvin C. Moore, Ergodic equivalence relations, cohomology, and von Neumann algebras. I, Trans. Amer. Math. Soc. 234 (1977), no. 2, 289–324. MR 578656, DOI 10.1090/S0002-9947-1977-0578656-4
- Alexander S. Kechris, Countable sections for locally compact group actions, Ergodic Theory Dynam. Systems 12 (1992), no. 2, 283–295. MR 1176624, DOI 10.1017/S0143385700006751
- V. S. Varadarajan, Groups of automorphisms of Borel spaces, Trans. Amer. Math. Soc. 109 (1963), 191–220. MR 159923, DOI 10.1090/S0002-9947-1963-0159923-5
- V. M. Wagh, A descriptive version of Ambrose’s representation theorem for flows, Proc. Indian Acad. Sci. Math. Sci. 98 (1988), no. 2-3, 101–108. MR 994127, DOI 10.1007/BF02863630
Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 120 (1994), 241-247
- MSC: Primary 22D40; Secondary 03E15, 54H11
- DOI: https://doi.org/10.1090/S0002-9939-1994-1169035-5
- MathSciNet review: 1169035