Amenability, hyperfiniteness, and isoperimetric inequalities;Moyennabilité, hyperfinitude et inégalités isopérimétriques

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 9, 1997, Pages 999-1004

  Kaimanovich, Vadim A ^a  

^a UNIVERSITÉ DE RENNES 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031280704     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)89093-3     Document Type: Article

References (9)

1. [1] Feldman J., Moore C. C., 1977. Ergodic equivalence relations, cohomology, and von Neumann algebras. 1. Trans. Amer. Math. Soc., 234, pp. 289-324.
2. [2] Dye H., 1959. On groups of measure preserving transformations. I, Amer. J. Math., 81, pp. 119-159.
3. [3] Zimmer R. J., 1977. Amenable ergodic actions, hyperfinite factors, and Poincaré flows, Bull. Amer. Math. Soc., 83, pp. 1078-1080.
4. [4] Connes A., Feldman J., Weiss B., 1981. An amenable equivalence relation is generated by a single transformation. Ergodic Theory Dynam. Systems, 1, pp. 431-450.
5. [5] Paterson A. T., 1988. Amenability, Amer. Math. Soc., Providence, R. I.
6. [6] Brooks R., 1983. Some Riemannian and dynamical invariants of foliations, Progr. Math., 32, Birkhäuser, Boston, pp. 56-72.
7. [7] Ghys É., Carrière Y., 1985. Relations d'équivalence moyennables sur les groupes de Lie, C. R. Acad. Sci. Paris, Série I, 300, pp. 677-680.
8. [8] Hurder S., Katok A., 1987. Ergodic theory and Weil measures for foliations, Ann. Math., 126, pp. 221-275.
9. [9] Kaimanovich V. A., 1997. Equivalence relations with amenable leaves need not be amenable, prépublication.