Minimal actions of the group double-struck S sign (ℤ) of permutations of the integers

Geometric and Functional Analysis

Volumn 12, Issue 5, 2002, Pages 964-988

  Glasner, E ^a   Weiss, B ^b  

^a TEL AVIV UNIVERSITY   (Israel)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036434778     PISSN: 1016443X     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00012651     Document Type: Article

References (22)

1. [A] D.J. Aldous, Representations for partially exchangeable arrays of ranom variables, J. Multivariate Anal. 11 (1981), 581-598.
2. [D] J.D. Dixon, The Structure of Linear Groups, Van Nostrand Reinhold Company, Mathematical studies 37, New-York, 1971.
3. [Dy] H.A. Dye, On the ergodic mixing theorem, Trans. Amer. Math. Soc. 118 (1965), 123-130.
4. [E] R. Ellis, Lectures on Topological Dynamics, W.A. Benjamin, Inc., New York, 1969.
5. [GJ] L. Gillman, M. Jerison, Rings of Continuous Functions, van Nostrand, Princeton, 1960.
6. [GjP] T. Giordano, V. Pestov, Some extremely amenable groups, C.R. Acad. Sci. Paris, to appear.
7. [Gl1] E. Glasner, Topological dynamics and group theory, Trans. Amer. Math. Soc. 187 (1974), 327-334.
8. [Gl2] E. Glasner, On minimal actions of Polish groups, Topology and its Applications 85 (1998), 119-125.
9. ∞(ℤ), Israel J. of Math. 44 (1983), 345-360.
10. [Gr] M. Gromov, Metric Structures for Riemannian and Non-Riemannian Spaces, Progress in Mathematics 152, Birkhäuser Boston, Inc., Boston, MA, 1999.
11. [GrM] M. Gromov, V.D. Milman, A topological application of the isoperimetric inequality, Amer. J. Math. 105 (1983), 843-854.
12. [HS] N. Hindman, D. Strauss, Algebra in the Stone-Čech Compactification, de Gruyter, Berlin, New York, 1998.
13. [Hu] E.V. Huntington, Inter-relations among the four principal types of order, Trans. Amer. Math. Soc. 38 (1935), 1-9.
14. [MS] M.G. Megrelishvlli, T. Scarr, The equivariant universality and couniversality of the Cantor cube, Fund. Math. 167 (2001), 269-275.
15. [Mi] V.D. Milman, The heritage of P. Lévy in geometrical functional analysis, Astérisque 157-158 (1998), 273-301.
16. [MIS] V.D. Milman, G. Schechtman, Asymptotic Theory of Finite Dimensional Normed Spaces, Springer Lecture Notes in Math. 1200, Springer, Berlin, 1986.
17. [NW] J. von Neumann, E.P. Wigner, Minimally almost periodic groups, Ann. of Math. 41 (1940), 746-750.
18. [P1] V.G. Pestov, Some universal constructions in abstract topological dynamics, Contemporary Mathematics 215, (1998), 83-99.
19. [P2] V.G. Pestov, On free actions, minimal flows, and a problem by Ellis, Trans. Amer. Math. Soc. 350, (1998), 4149-4165.
20. [P3] V.G. Pestov, Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space, GAFA, Geom. funct, anal. 10 (2000), 1171-1201.
21. [P4] V.G. Pestov, Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups, Israel J. of Math., to appear.
22. [U] V. Uspenskij, On universal minimal compact G-spaces, to appear.