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Connes, A.; Feldman, J.; Weiss, B.

An amenable equivalence relation is generated by a single transformation. (English) Zbl 0491.28018

Ergodic Theory Dyn. Syst. 1, 431-450 (1981).
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Cited in 15 Reviews
Cited in 189 Documents

MSC:

28D15 General groups of measure-preserving transformations
46L35 Classifications of \(C^*\)-algebras

Keywords:

amenable non-singular countable equivalence relation; amenable countable equivalence relations; non-singular flows; Cartan subalgebras; hyperfinite factor
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\textit{A. Connes} et al., Ergodic Theory Dyn. Syst. 1, 431--450 (1981; Zbl 0491.28018)
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References:

[1] DOI: 10.2307/1969107 · Zbl 0060.26903
[2] DOI: 10.1090/S0273-0979-1980-14702-3 · Zbl 0427.28018
[3] Mokobodski, Sem. Probabilités pp 198– (1971)
[4] DOI: 10.2307/2372852 · Zbl 0087.11501
[5] DOI: 10.1007/BF00533332 · Zbl 0261.28015
[6] DOI: 10.1016/0022-1236(77)90062-3 · Zbl 0369.28013
[7] DOI: 10.1016/0022-1236(78)90088-5 · Zbl 0408.46042
[8] DOI: 10.2307/1971057 · Zbl 0343.46042
[9] Connes, Sur la théorie non commutative de I’intégration pp 19– (1979)
[10] DOI: 10.1007/BF00535780 · Zbl 0136.12302
[11] DOI: 10.2307/1971066 · Zbl 0374.58008
[12] DOI: 10.1016/0022-1236(78)90013-7 · Zbl 0391.28011
[13] Belinskaya, Funkcional Anal. i. Prilozen 2 pp 4– (1968)
[14] Zimmer, Israel J. Math. 26 pp 214– (1977)
[15] DOI: 10.1007/BF01390162 · Zbl 0361.46061
[16] DOI: 10.1007/BF01361167 · Zbl 0178.38802
[17] DOI: 10.1007/BF01360278 · Zbl 0332.46045
[18] DOI: 10.1007/BF02764660 · Zbl 0239.28014
[19] DOI: 10.2307/1994001 · Zbl 0178.38501
[20] DOI: 10.2307/1989547 · Zbl 0004.26001
[21] Golodets, Uspekhi Math. Nauk. 26 pp 3– (1971)
[22] DOI: 10.1016/0001-8708(78)90114-7 · Zbl 0392.28023
[23] DOI: 10.2307/1997924 · Zbl 0369.22009
[24] DOI: 10.2307/2041720 · Zbl 0302.46047
[25] DOI: 10.2307/2373108 · Zbl 0191.42803
[26] Veršik, Uspekhi Matematicheski Nauk. 33 pp 209– (1978)
[27] Veršik, Dokl. Acad. Nauk. SSSR 199 pp 1004– (1971)
[28] DOI: 10.1007/BF02760832 · Zbl 0398.22013
[29] DOI: 10.1002/cpa.3160160104 · Zbl 0131.33201
[30] DOI: 10.2307/1968693 · Zbl 0014.16101
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