Bilateral Denseness of the Hyperbolic Limit Points of Groups Acting on Metric Spaces

Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg

Volumn 67, Issue 1, 1997, Pages 123-135

  Pavone, Marco ^a  

^a UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0347170969     PISSN: 00255858     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02940823     Document Type: Article

References (26)

1. A. F. BEARDON, The geometry of discrete groups. Graduate Texts in Math. 91, Springer 1983.
2. M. J. DUNWOODY, Cutting up graphs. Combinatorica 2 (1982), 15-23.
3. _, The accessibility of finitely presented groups. Invent. Math. 81 (1985), 449-457.
4. E. M. FREDEN, Negatively curved groups have the convergence property. Acad. Sci. Fenn. Ser. A Math. 20 (1995), 333-348.
5. H. FREUDENTHAL, Über die Enden diskreter Räume und Gruppen. Comment. Math. Helv. 17 (1944), 1-38.
6. E. GHYS and P. DE LA HARPE, Sur les groupes hyperboliques d'après Mikhael Gromov. Progress in Math. 83, Birkhäuser 1990.
7. F. W. GEHRING and G. J. MARTIN, Discrete quasiconformal groups I. Proc. Lond. Math. Soc. 55 (1987), 331-358.
8. M. GROMOV, Hyperbolic groups. Essays in group theory (S. M. Gersten, ed.), MSRI Publ. 8, Springer (1987) 75-263.
9. _, Asymptotic invariants of infinite groups. Geometric group theory (G. A. Niblo and M. A. Roller, eds.), LMS Lect. Notes Series 182 Vol. 2, Cambridge University Press 1993.
10. R. HALIN, Über unendliche Wege in Graphen. Math. Ann. 157 (1964), 125-137.
11. H. A. JUNG, Connectivity in infinite graphs. Studies in Pure Math. (L. Mirsky, ed.), Academic Press 1971, 137-143.
12. _, A note on fragments of infinite graphs. Combinatorica 1 (1981), 285-288.
13. H. A. JUNG and M. E. WATKINS, Fragments and automorphisms of infinite graphs. Europ. J. Combinatorics 5 (1984), 149-162.
14. R. G. MÖLLER, Ends of graphs II. Math. Proc. Cambr. Philos. Soc. 111 (1992), 455-460.
15. M. PAVONE, Boundaries of discrete groups, Toeplitz operators and extensions of the reduced C*-algebra. Ph. D. Thesis, Dept. of Math., UC Berkeley (May 1989).
16. _, Toeplitz operators on discrete groups. J. Operator Theory 27 (1992), 359-384.
17. _, On the hyperbolic limit points of groups acting on hyperbolic spaces. Rend. Circ. Mat. Palermo, in press.
18. _, Fixed-set property and dense orbits for groups acting on metric spaces. Dept. of Math., University of Palermo, Preprint N. 20 (March 1996), 1-21.
19. _, On the fixed ends of hyperbolic translations of infinite graphs. Dept. of Math., University of Palermo, Preprint N. 26 (April 1996), 1-11.
20. _, Ends of discrete groups and extensions of the reduced C*-algebra. in preparation.
21. P. M. SOARDI and W. WOESS, Amenability, unimodularity, and the spectral radius of random walks on infinite graphs. Math. Z. 205 (1990), 471-486.
22. J. STALLINGS, Group theory and three-dimensional manifolds. Yale Math. Monographs 4, Yale University Press 1971.
23. P. TUKIA, Convergence groups and Gromov's metric hyperbolic spaces. New Zealand J. Math. 23 (1994), 157-187 and 25 (1996), 1-2.
24. P. TUKIA, Convergence groups and Gromov's metric hyperbolic spaces. New Zealand J. Math. 23 (1994), 157-187 and 25 (1996), 1-2.
25. W. WOESS, Boundaries of random walks on graphs and groups with infinitely many ends. Israel J. Math. 68 (1989), 271-301.
26. _, Fixed sets and free subgroups of groups acting on metric spaces. Math. Z. 214 (1993), 425-440.