Amenable groups and measure concentration on spheres;Groupes moyennables et concentration de mesure sur les sphères

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

Volumn 328, Issue 8, 1999, Pages 669-674

  Pestov, Vladimir ^a  

^a VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033560404     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(99)80232-8     Document Type: Article

References (18)

1. Auslander J., Minimal flows and their extensions. North-Holland Math. Studies 153. North-Holland, Amsterdam-NY-London-Tokyo, 1988.
2. Bekka M.E.B., Amenable unitary representations of locally compact groups, Invent. Math. 100 (1990) 383-401.
3. Engelking R., General Topology, PWN, Warczawa, 1977.
4. Gaughan E.D., Topological group structures of infinite symmetric groups. Proc. Nat. Acad. Sci. USA 58 (1967) 907-910.
5. Glasner S., On minimal actions of polish groups, Top. Appl. 85 (1998) 119-125.
6. Gromov M., Milman V.D., A topological application of the isoperimetric inequality. Amer. J. Math. 105 (1983) 843-854.
7. de la Harpe P. Moyennabilité de quelques groupes topologiques de dimension infinie, C. R. Acad. Sci. Paris 277 Série A (1973) 1037-1040.
8. Maurey B., Constructions de suites symétriques, C. R. Acad. Sci. Paris 288 Série A-B (1979) 679-681.
9. Megrelishvili M., Compactification and factorization in the category of G-spaces, in: Categorical Topology, J. Adamek, S. MacLane (Eds.), Singapore, 1989, pp. 220-237.
10. Milman V.D., Diameter of a minimal invariant subset of equivariant Lipschitz actions on compact subsets of ℝ′, in: Geometrical Aspects of Functional Analysis (Israel Seminar, 1985-86), Lect. Notes in Math. 1267, Springer-Verlag, Berlin a.o., 1987, pp. 13-20.
11. Milman V.D., The heritage of P. Lévy in geometric functional analysis, AstéRisque 157-158 (1988) 273-301.
12. Paterson A.T., Amenability, math. surveys and monographs 29, Amer. Math. Soc., Providence, RI, 1988.
13. Pestov V.G., On free actions, minimal flows, and a problem by Ellis, Trans. Amer. Math. Soc. 350 (1998) 4149-4165.
14. Pestov V., Some universal constructions in abstract topological dynamics, in: Topological Dynamics and Its Applications. A Volume in Honor of Robert Ellis, Contemp. Math. 215, 1998. pp. 83-99.
15. Stoyanov L., Total minimality of the unitary groups. Math. Z. 187 (1984) 273-283.
16. Talagrand M., Concentration of measure and isoperimetric inequalities in product spaces, Publ. Math. IHES 81 (1995) 73-205.
17. Teleman S., Sur la représentation linéaire des groupes topologiques, Ann. Sci. École Norm. Sup. 74 (1957) 319-339.
18. de Vries J., On the existence of G-compactifications. Bull. Acad. Polon. Sci. Math. Astron. Phys. 26 (1978) 275-280.