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Volumn 351, Issue 8, 1999, Pages 3387-3412

Invariant measures for algebraic actions, Zariski dense subgroups and Kazhdan’s property (t)

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EID: 22644450240     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-99-02363-6     Document Type: Article
Times cited : (44)

References (42)
  • 1
    • 0010070167 scopus 로고
    • Resaux arithmetiques et commensurateur d'apres G.A. Mar- gulis
    • MR 96a:22019
    • A’Campo, N. and Burger, M., Resaux arithmetiques et commensurateur d'apres G.A. Mar- gulis, Invent. Math. 116 (1994), 1-25. MR 96a:22019
    • (1994) Invent. Math , vol.116 , pp. 1-25
    • A’Campo, N.1    Burger, M.2
  • 2
    • 82255185375 scopus 로고
    • Representations of the group GL(N; F) where F is a non-archimedean local field
    • MR 54:12988
    • Bernstein, I.N. and Zelevinskii, A.V., Representations of the group GL(n; F) where F is a non-archimedean local field, Russian Math. Surveys 31 (1976), 1-68. MR 54:12988
    • (1976) Russian Math. Surveys , vol.31 , pp. 1-68
    • Bernstein, I.N.1    Zelevinskii, A.V.2
  • 3
    • 0001570729 scopus 로고
    • Density properties for certain subgroups of semisimple groups without compact factors
    • MR 23:A964
    • Borel, A., Density properties for certain subgroups of semisimple groups without compact factors, Ann. Math. 72, (1960), 179-188. MR 23:A964
    • (1960) Ann. Math , vol.72 , pp. 179-188
    • Borel, A.1
  • 4
  • 5
    • 0003365005 scopus 로고
    • Existence of discrete co-compact subgroups of reductive groups over local fields
    • MR 80b:22022
    • Borel, A. and Harder, G., Existence of discrete co-compact subgroups of reductive groups over local fields, J. Reine Angew. Math. 298 53-64 (1978). MR 80b:22022
    • (1978) J. Reine Angew. Math , vol.298 , pp. 53-64
    • Borel, A.1    Harder, G.2
  • 6
    • 51249193304 scopus 로고
    • Theoremes de finitude en cohomologic galoisienne
    • MR 31:5870
    • Borel, A. and Serre, J.P., Theoremes de finitude en cohomologic galoisienne, Comm. Math. Helv. 39 (1964), 111-164. MR 31:5870
    • (1964) Comm. Math. Helv , vol.39 , pp. 111-164
    • Borel, A.1    Serre, J.P.2
  • 7
    • 51649138785 scopus 로고
    • Groupes reductifs
    • MR 34:7527
    • Borel, A. and Tits, J., Groupes reductifs, Publ. Math. I.H.E.S. 27 55-150, (1965). MR 34:7527
    • (1965) Publ. Math. I.H.E.S. , vol.27 , pp. 55-150
    • Borel, A.1    Tits, J.2
  • 8
    • 84941388615 scopus 로고
    • Kazhdan constants for SL3(ℤ)
    • MR 92c:22013
    • 3(ℤ), J. Reine Angew. Math, 423 36-67, (1991). MR 92c:22013
    • (1991) J. Reine Angew. Math , vol.423 , pp. 36-67
    • Burger, M.1
  • 9
    • 0040277459 scopus 로고
    • A simple proof of Borel's density theorem
    • MR 81m:22010
    • Dani, S.G., A simple proof of Borel's density theorem, Math. Z. 174 81-94, (1980). MR 81m:22010
    • (1980) Math. Z , vol.174 , pp. 81-94
    • Dani, S.G.1
  • 10
    • 51249179862 scopus 로고
    • On ergodic quasi-invariant measures of group automorphisms
    • MR 85d:22017
    • Dani, S.G., On ergodic quasi-invariant measures of group automorphisms, Israel J. Math. 43 62-74 (1982). MR 85d:22017
    • (1982) Israel J. Math , vol.43 , pp. 62-74
    • Dani, S.G.1
  • 11
    • 0000190262 scopus 로고
    • 3, invariant with respect to rotations
    • MR 86a:28021
    • 3, invariant with respect to rotations, Func. Anal. and its Appl. 18 245-246 (1984). MR 86a:28021
    • (1984) Func. Anal. And Its Appl. , vol.18 , pp. 245-246
    • Drinfeld, V.G.1
  • 12
    • 0013198055 scopus 로고
    • Moyennes Invariantes et Representations Unitaires
    • Springer-Verlag, MR 43:6740
    • Eymard, P., Moyennes Invariantes et Representations Unitaires, Lecture Notes in Mathematics No. 300, Springer-Verlag 1972. MR 43:6740
    • (1972) Lecture Notes in Mathematics , Issue.300
    • Eymard, P.1
  • 15
    • 84966245002 scopus 로고
    • A note on Borel's density theorem
    • MR 54:10484
    • Furstenberg, H., A note on Borel's density theorem, Proc. AMS 55, 209-212 (1976). MR 54:10484
    • (1976) Proc. AMS , vol.55 , pp. 209-212
    • Furstenberg, H.1
  • 16
    • 0001290907 scopus 로고
    • Amenable actions of locally compact groups
    • MR 40:268
    • Greenleaf, F.P., Amenable actions of locally compact groups, J. Funct. Anal. 4, 295-315, (1969). MR 40:268
    • (1969) J. Funct. Anal , vol.4 , pp. 295-315
    • Greenleaf, F.P.1
  • 20
    • 0039093457 scopus 로고
    • Invariant geometric structures: A non-linear extension of the Borel density theorem
    • MR 93k:22008
    • Iozzi, A., Invariant geometric structures: A non-linear extension of the Borel density theorem, Amer. J. Math. 114 627-648 (1992). MR 93k:22008
    • (1992) Amer. J. Math , vol.114 , pp. 627-648
    • Iozzi, A.1
  • 21
    • 0039336127 scopus 로고    scopus 로고
    • Algebraic hulls and the Følner property
    • MR 97j:22011
    • Iozzi, A. and Nevo, A., Algebraic hulls and the Følner property, Geom. Funct. Anal. 6 (1996), 666-688. MR 97j:22011
    • (1996) Geom. Funct. Anal , vol.6 , pp. 666-688
    • Iozzi, A.1    Nevo, A.2
  • 22
    • 34250526463 scopus 로고
    • Connection of the dual space of a group with the structure of its closed sub- groups
    • Kazhdan, D., Connection of the dual space of a group with the structure of its closed sub- groups, Func. Anal. Appl. 1 63-65, (1967).
    • (1967) Func. Anal. Appl , vol.1 , pp. 63-65
    • Kazhdan, D.1
  • 25
    • 0000305257 scopus 로고
    • Some remarks on invariant means
    • MR 82b:28034
    • Margulis, G.A., Some remarks on invariant means, Monat. fur Math. 90, 233-235, (1980). MR 82b:28034
    • (1980) Monat. Fur Math. , vol.90 , pp. 233-235
    • Margulis, G.A.1
  • 27
    • 51249175816 scopus 로고
    • Zariski density in Lie groups
    • MR 87h:22010
    • Mosak, R. and Moskowitz, M., Zariski density in Lie groups, Isr. J. Math. 52, 1-14, (1985). MR 87h:22010
    • (1985) Isr. J. Math , vol.52 , pp. 1-14
    • Mosak, R.1    Moskowitz, M.2
  • 28
    • 0039685677 scopus 로고
    • On the density theorem of Borel and Furstenberg
    • MR 58:22393
    • Moskowitz, M., On the density theorem of Borel and Furstenberg, Ark. Math. 16 11-27, (1978). MR 58:22393
    • (1978) Ark. Math , vol.16 , pp. 11-27
    • Moskowitz, M.1
  • 29
    • 0010563931 scopus 로고
    • Elementary proof of a theorem of Tits and a theorem of Bruhat-Tits
    • MR 83m:20064
    • Prasad, G., Elementary proof of a theorem of Tits and a theorem of Bruhat-Tits, Bull. Soc. Math. Fr. 110 197-202 (1982). MR 83m:20064
    • (1982) Bull. Soc. Math. Fr , vol.110 , pp. 197-202
    • Prasad, G.1
  • 30
    • 0003177092 scopus 로고
    • Uniqueness of invariant means for measure preserving transformations
    • MR 83a:28026
    • Rosenblatt, J., Uniqueness of invariant means for measure preserving transformations, Trans. AMS 265, 623-636, (1981). MR 83a:28026
    • (1981) Trans. AMS , vol.265 , pp. 623-636
    • Rosenblatt, J.1
  • 33
    • 51249179553 scopus 로고
    • Asymptotically invariant sequences and an action of SL2(ℤ) on the 2-sphere
    • MR 82e:28023a
    • 2(ℤ) on the 2-sphere, Israel J. Math. 37, 193-208, (1980). MR 82e:28023a
    • (1980) Israel J. Math , vol.37 , pp. 193-208
    • Schmidt, K.1
  • 34
    • 84958426430 scopus 로고
    • Amenability, Kazhdan's property (T), strong ergodicity and invariant means for ergodic group actions
    • MR 83m:43001
    • Schmidt, K., Amenability, Kazhdan's property (T), strong ergodicity and invariant means for ergodic group actions, Ergodic Theory and Dynamical Systems 1 223-236 (1981). MR 83m:43001
    • (1981) Ergodic Theory and Dynamical Systems , vol.1 , pp. 223-236
    • Schmidt, K.1
  • 35
    • 0040871775 scopus 로고
    • Growth of homogeneous spaces, density of discrete subgroups and Kazhdan's prop- erty (T)
    • MR 93j:22022
    • Stuck, G., Growth of homogeneous spaces, density of discrete subgroups and Kazhdan's prop- erty (T), Invent. Math. 109 505-517, (1992). MR 93j:22022
    • (1992) Invent. Math , vol.109 , pp. 505-517
    • Stuck, G.1
  • 36
    • 84966212977 scopus 로고
    • For n 3 there is only one finitely additive rotationally invariant measure on the n-sphere defined on all Lebesgue measurable subsets
    • MR 82b:28035
    • Sullivan, D., For n 3 there is only one finitely additive rotationally invariant measure on the n-sphere defined on all Lebesgue measurable subsets, Bull AMS 4, 121-123 (1981). MR 82b:28035
    • (1981) Bull AMS , vol.4 , pp. 121-123
    • Sullivan, D.1
  • 38
    • 0039802489 scopus 로고
    • On the Mautner phenomenon and groups with property (T)
    • MR 84g:22033
    • Wang, S.P., On the Mautner phenomenon and groups with property (T), Amer. J. Math. 104, 1191-1210, (1982). MR 84g:22033
    • (1982) Amer. J. Math , vol.104 , pp. 1191-1210
    • Wang, S.P.1
  • 39
    • 84966229043 scopus 로고
    • On anisotropic solvable linear algebraic groups
    • Wang, S.P., On anisotropic solvable linear algebraic groups, Proc. AMS 84, 11-15, (1982).
    • (1982) Proc. AMS , vol.84 , pp. 11-15
    • Wang, S.P.1
  • 40
    • 0000360125 scopus 로고
    • Superrigidity of lattices in solvable Lie groups
    • Witte, D., Superrigidity of lattices in solvable Lie groups, Invent. Math. 122 (1995), no. 1, 147-193.
    • (1995) Invent. Math , vol.122 , Issue.1 , pp. 147-193
    • Witte, D.1
  • 42
    • 0000546320 scopus 로고
    • Kazhdan groups acting on compact manifolds
    • MR 86a:22009
    • Zimmer, R.J., Kazhdan groups acting on compact manifolds, Invent. Math. 75, 425-436, (1984). MR 86a:22009
    • (1984) Invent. Math , vol.75 , pp. 425-436
    • Zimmer, R.J.1


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