Some extremely amenable groups;Quelques groupes extrêmement moyennables

Comptes Rendus Mathematique

Volumn 334, Issue 4, 2002, Pages 273-278

  Giordano, Thierry ^a   Pestov, Vladimir ^b  

^a UNIVERSITY OF OTTAWA   (Canada)

^b VICTORIA UNIVERSITY OF WELLINGTON   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037716225     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(02)02218-5     Document Type: Article

References (22)

1. W. Banaszczyk, On the existence of exotic Banach-Lie groups, Math. Ann. 264 (1983) 485-493.
2. M.E.B. Bekka, Amenable unitary representations of locally compact groups, Invent. Math. 100 (1990) 383-401.
3. G.A. Elliott, On approximately finite-dimensional von Neumann algebras. II, Canad. Math. Bull. 21 (1978) 415-418.
4. S. Glasner, On minimal actions of Polish groups, Topology Appl. 85 (1998) 119-125.
5. S. Glasner, Proximal Flows, Lecture Notes in Math., Vol. 517, Springer-Verlag, Berlin, 1976.
6. E. Granirer, Extremely amenable semigroups 2, Math. Scand. 20 (1967) 93-113.
7. M. Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces, Progr. Math., Vol. 152, Birkhäuser, Basel, 1999.
8. M. Gromov, V.D. Milman, A topological application of the isoperimetric inequality, Amer. J. Math. 105 (1983) 843-854.
9. U. Haagerup, All nuclear C*-algebras are amenable, Invent. Math. 74 (1983) 305-319.
10. P.R. Halmos, Lectures on Ergodic Theory, Chelsea, New York, 1960.
11. P. de la Harpe, Moyennabilité de quelques groupes topologiques de dimension infinie, C. R. Acad. Sci. Paris, Série A 277 (1973) 1037-1040.
12. P. de la Harpe, Moyennabilité du groupe unitaire et propriété P de Schwartz des algèbres de von Neumann, in: Algèbres d'opérateurs (Sém., Les Plans-sur-Bex, 1978), Lecture Notes in Math., Vol. 725, Springer-Verlag, Berlin, 1979, pp.220-227.
13. W. Herer, J.P.R. Christensen, On the existence of pathological submeasures and the construction of exotic topological groups, Math. Ann. 213 (1975) 203-210.
14. B. Maurey, Constructions de suites symétriques, C. R. Acad. Sci. Paris, Série A-B 288 (1979) 679-681.
15. V.D. Milman, The heritage of P. Lévy in geometric functional analysis, Astérisque 157-158 (1988) 273-301.
16. A.L.T. Paterson, Nuclear C*-algebras have amenable unitary groups, Proc. Amer. Math. Soc. 114 (1992) 719-721.
17. V.G. Pestov, On free actions, minimal flows, and a problem by Ellis, Trans. Amer. Math. Soc. 350 (1998) 4149-4165.
18. V.G. Pestov, Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space, Geom. Funct. Anal. 10 (2000) 1171-1201.
19. V.G. Pestov, Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups, Israel J. Math. (to appear). E-print: http://arXiv.org/abs/math.FA/0004010.
20. LUC and Veech's theorem, Semigroup Forum 59 (1999) 171-174.
21. A.I. Tulcea, On the category of certain classes of transformations in ergodic theory, Trans. Amer. Math. Soc. 114 (1965) 261-279.
22. W.A. Veech, Topological dynamics, Bull. Amer. Math. Soc. 83 (1977) 775-830.