Lattices in semi-simple Lie groups, and multipliers of group C * -algebras
Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 67-79.
@incollection{AST_1995__232__67_0,
     author = {Bekka, Mohammed E. B. and Valette, Alain},
     title = {Lattices in semi-simple {Lie} groups, and multipliers of group $C^\ast$-algebras},
     booktitle = {Recent advances in operator algebras - Orl\'eans, 1992},
     series = {Ast\'erisque},
     pages = {67--79},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {232},
     year = {1995},
     mrnumber = {1372525},
     zbl = {0851.22006},
     language = {en},
     url = {http://archive.numdam.org/item/AST_1995__232__67_0/}
}
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Bekka, Mohammed E. B.; Valette, Alain. Lattices in semi-simple Lie groups, and multipliers of group $C^\ast$-algebras, dans Recent advances in operator algebras - Orléans, 1992, Astérisque, no. 232 (1995), pp. 67-79. http://archive.numdam.org/item/AST_1995__232__67_0/

[BLS] M. E. B. Berka, A. T. Lau and G. Schlichting, On invariant subalgebras of the Fourier-Stieltjes algebra of a locally compact group, in Math. Ann. 294 (1992), 513-522. | DOI | EuDML | MR | Zbl

[BeV] M. E. B. Bekka and A. Valette, On duals of Lie groups made discrete, J. fur reine angew. Math. 439 (1993), 1-10. | EuDML | MR | Zbl

[Bor] A. Borel, Cohomologie de sous-groupes discrets et représentations de groupes semi-simples, Astérisque 32-33 (1976), 73-112. | Numdam | MR | Zbl

[BoG] A. Borel and H. Garland, Laplacian and the discrete spectrum of an arithmetic group, Amer. J. Math. 105 (1983), 309-335. | DOI | MR | Zbl

[BoW] A. Borel and N. Wallach, Continuous cohomology, discrete subgroups, and representations of reductive groups, Ann. of Math. Studies 94, Princeton Univ. Press, 1980. | MR | Zbl

[Bur] M. Burger, Spectre du Laplacien, graphes et topologie de Fell, Comm. Math. Helv. 63 (1988), 226-252. | DOI | EuDML | MR | Zbl

[BuS] M. Burger and P. Sarnak, Ramanujan duals II, Invent. Math. 106 (1991), 1-11. | DOI | EuDML | MR | Zbl

[Cow] M. Cowling, Sur les coefficients des représentations unitaires des groupes de Lie simples, in Analyse Harmonique sur les groupes de Lie II, Lect. Notes Math. 739, Springer (1979), 132-178. | DOI | MR | Zbl

[CoS] M. Cowling and T. Steger, The irreducibility of restrictions of unitary representations to lattices, J. reine angew. Math. 420 (1991), 85-98. | EuDML | MR | Zbl

[Dod] J. Dodziuk, A lower bound for the first eigenvalue of a finite-volume negatively curved manifold, Bol. Soc. Bras. Mat. 18-2 (1987), 23-34. | DOI | MR | Zbl

[Fe1] J. M. G. Fell, Weak containment and induced representations of groups, Canad. J. Math. 14 (1962), 237-268. | DOI | MR | Zbl

[Fe2] J. M. G. Fell, Weak containment and induced representations of groups II, Trans. Amer. Math. Soc. 110 (1964), 424-447. | MR | Zbl

[Gab] D. Gabai, On 3-manifolds finitely covered by surface bundles, in Low-dimensional topology and Kleinian groups (Coventry/Durham 1984), London Math. Soc. Lect. Notes Ser. 112, Cambridge Univ. Press (1986), 145-155. | MR | Zbl

[GaV] R. Gangolli and V. S. Varadarajan, Harmonic analysis of spherical functions on real reductive groups, Ergebnisse der Math. und ihrer Grenzgebiete 101, Springer, 1988. | MR | Zbl

[GGP] I. M. Gelfand, M. I. Graev and I. Piatetskii-Shapiro, Representation theory and automorphic functions, W.B. Saunders 1969. | MR | Zbl

[GeN] I. M. Gelfand and M. A. Naimark, Unitary representations of the classical groups, Trudy Math. Inst. Steklov, 1950. | MR

[Got] M. Goto, Faithful representations of Lie groups I, Math. Japon. 1 (1948), 107-119. | MR | Zbl

[Har] P. De La Harpe, Operator algebras, free groups, and other groups, these Proceedings.

[HaV] P. De La Harpe and A. Valette, La propriété (T) de Kazhdan pour les groupes localement compacts, Astérisque 175, Soc. Math. France, 1989. | Numdam | MR | Zbl

[Hem] J. Hempel, Orientation reversing involutions and the first Betti number for finite coverings of 3-manifolds, Invent. Math. 67 (1982), 133-142. | DOI | EuDML | MR | Zbl

[Kaz] D. Kazhdan, Some applications of the Weil representation, Journ. d'Analyse Math. 32 (1977), 235-248. | DOI | MR | Zbl

[Li] J. S. Li, Nonvanishing theorems for the cohomology of certain arithmetic quotients, J. reine angew. Math. 428 (1992), 177-217. | EuDML | MR | Zbl

[LiM] J. S. Li and J. J. Millson, On the first Betti number of a hyperbolic manifold with an arithmetic fundamental group, Duke Math. J. 71 (1993), 365-401. | MR | Zbl

[Lub] A. Lubotzky, Group presentation, p-adic analytic groups and lattices in SL 2 (), Ann. Maths. 118 (1983), 115-130. | DOI | MR | Zbl

[LuZ] A. Lubotzky and R. J. Zimmer, Variants of Kazhdan's property for subgroups of semisimple groups, Israel J. Math. 66 (1989), 289-299. | DOI | MR | Zbl

[Mal] A. I. Malcev, On the faithful representations of infinite groups by matrices, Amer. Math. Soc. Transl. 45 (1965), 1-18. | Zbl

[Mar] G. A. Margulis, Discrete subgroups of semisimple Lie groups, Ergebnisse der Math. und ihrer Grenzgebiete, 3. Folge, Bd. 17, Springer 1991. | MR | Zbl

[Mil] J. J. Millson, On the first Betti number of a constant negatively curved manifold, Ann. Math. 104 (1976), 235-247. | DOI | MR | Zbl

[Moo] C. C. Moore, Exponential decay of correlation coefficients for geodesic flows, in Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics, Proc. Conf. in honor of G.W. Mackey (ed. C.C. Moore), MSRI Publications, Springer 1987, 163-181. | DOI | MR | Zbl

[OsW] M. S. Osborne and G. Warner, The theory of Eisenstein systems, Academic Press, 1981. | MR | Zbl

[Ped] G. K. Pedersen, C * -algebras and their automorphism groups, Academic Press, 1979. | MR | Zbl

[Rie] M. A. Rieffel, Induced representations of C * -algebras, Adv. Math. 13 (1974), 176-257. | DOI | MR | Zbl

[Sel] A. Selberg, On the estimation of Fourier coefficients of modular forms, Proc. Sympos. Pure Math. 8, Amer. Math. Soc. (1965), 1-15. | DOI | MR | Zbl

[Som] T. Soma, Virtual fibre groups in 3-manifolds groups, J. London Math. Soc. 43 (1991), 337-354. | DOI | MR | Zbl

[Sta] J. Stallings, On fibering certain 3-manifolds, in Topology of 3-manifolds and related topics, Proc. of the 1961 Topology Institute, Prentice Hall (1962), 95-100. | MR | Zbl

[Ste] E. M. Stein, Analysis in some matrix spaces and some new representations of SL n (), Ann. Math. 86 (1967), 461-490. | DOI | MR | Zbl

[Thu] W. P. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (New Ser.) 6 (1982), 357-381. | DOI | MR | Zbl

[Wan] S. P. Wang, On isolated points in the dual spaces of locally compact groups, Math. Ann. 218 (1975), 19-34. | DOI | EuDML | MR | Zbl