Spatial and non-spatial actions of Polish groups

Ergodic Theory and Dynamical Systems

Volumn 25, Issue 5, 2005, Pages 1521-1538

  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: 33644620232     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385705000052     Document Type: Article

References (18)

1. H. Becker and A. S. Kechris. The Descriptive Set Theory of Polish Groups (London Mathematical Society Lecture Notes, 232). Cambridge University Press, Cambridge, 1996.
2. A. I. Danilenko. Point realization of Boolean actions of countable inductive limits of locally compact groups. Mat. Fiz. Anal Geom., 7 (2000), 35-48.
3. H. Furstenberg. Recurrence in Ergodic Theory and Combinatorial Number Theory. Princeton University Press, Princeton, NJ, 1981.
4. E. Glasner. Proximal Flows (Lecture Notes in Mathematics, 517). Springer, Berlin, 1976.
5. E. Glasner. On minimal actions of Polish groups. Topology Appli. 85 (1998), 119-125.
6. E. Glasner. Ergodic Theory via Joinings (Surveys Monogr., 101). American Mathematical Society, Providence, RI, 2003.
7. E. Glasner, B. Tsirelson and B. Weiss. The automorphism group of the Gaussian measure cannot act pointwise. Israel J. Math., to appear (math DS/0311450).
8. M. Gromov and V. D. Milman. A topological application of the isoperimetric inequality. Amer. J, Math. 105 (1983), 843-854.
9. M. Ledoux. The Concentration of Measure Phenomenon. American Mathematical Society, Providence, RI, 2001.
10. G. W. Mackey. Point realizations of transformation groups. Illinois J. Math. 6 (1962), 327-335.
11. V. D. Milman. The heritage of P. Lévy in geometrical functional analysis. Colloque Paul Lévy sur les Processus Stochastiques (Palaiseau, 1987). Astérisque 157-158 (1988), 273-301.
12. V. D. Milman and G. Schechtman. Asymptotic Theory of Finite-dimensional Normed Spaces with an Appendix by M. Gromov (Lecture Notes in Mathematics, 1200). Springer, Berlin, 1986.
13. V. Pestov. Topological groups: where to from here? Topology Proc. 24 (1999), 421-502.
14. A. Ramsay. Virtual groups and group actions. Adv. Math. 6 (1971), 253-322.
15. C. Ryll-Nardzewski. On fixed points of semi-groups of endomorphisms. Proc. 5th Berkeley Symp. on Mathematical Statistics and Probability. Vol. II. Berkeley University Press, Berkeley, CA, 1966.
16. V. S. Varadarajan. Groups of automorphisms of Borel spaces. Trans. Amer. Math. Soc. 109 (1963), 191-220.
17. V. S. Varadarajan. Geometry of Quantum Theory. Vol. II. Van Nostrand, Princeton, NJ, 1970.
18. R. J. Zimmer. Extensions of ergodic group actions. Illinois J. Math. 20 (1976), 373-409.