Nonamenable products are not treeable

Israel Journal of Mathematics

Volumn 118, Issue , 2000, Pages 147-155

  Pemantle, Robin ^a   Peres, Yuval ^b,c  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0346384827     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02803520     Document Type: Article

References (17)

1. S. Adams, Indecomposability of treed equivalence relations, Israel Journal of Mathematics 64 (1988), 362-380.
2. S. Adams, Indecomposability of equivalence relations generated by word-hyperbolic groups, Topology 33 (1994), 785-798.
3. S. Adams and R. Lyons, Amenability, Kazhdan's property and percolation for trees, groups and equivalence relations, Israel Journal of Mathematics 75 (1991), 341-370.
4. S. Adams and R. J. Spatzier, Kazhdan groups, cocycles and trees, American Journal of Mathematics 112 (1990), 271-287.
5. K. S. Alexander, Percolation and minimal spanning forests in infinite graphs, Annals of Probability 23 (1995), 87-104.
6. I. Benjamini, R. Lyons, Y. Peres and O. Schramm, Group-invariant percolation on graphs, Geometric and Functional Analysis 9 (1999), 29-66.
7. I. Benjamini, R. Lyons, Y. Peres and O. Schramm, Uniform spanning forests, Annals of Probability, to appear.
8. I. Benjamini, R. Lyons, Y. Peres and O. Schramm, Minimal spanning forests, in preparation.
9. D. Gaboriau, Coût des relations d'équivalence et des groupes, Inventiones Mathematicae, to appear.
10. C. M. Newman and D. L. Stein, Ground-state structure in a highly disordered spin-glass model, Journal of Statistical Physics 82 (1996), 1113-1132.
11. P. M. Newman, The structure of unitary permutation groups, Archiv der Mathematik (Basel) 27 (1976), 3-17.
12. D. S. Ornstein and B. Weiss, Entropy and isomorphism theorems for actions of amenable groups, Journal of Algebra 48 (1987), 1-141.
13. A. L. T. Paterson, Amenability, American Mathematical Society, Providence, RI, 1988.
14. M. Salvatori, On the norms of group-invariant transition operators on graphs, Journal of Theoretical Probability 5 (1992), 563-576.
15. P. M. Soardi and W. Woess, Amenability, unimodularity, and the spectral radius of random walks on infinite graphs, Mathematische Zeitschrift 205 (1990), 471-486.
16. V. I. Trofimov, Groups of automorphisms of graphs as topological groups, Mathematical Notes 38 (1985), 717-720.
17. R. J. Zimmer, Ergodic actions of semisimple groups and product relations, Annals of Mathematics 118 (1983), 9-19.