Property (T) and groups
Donald I. Cartwright; Wojciech Młotkowski; Tim Steger
Annales de l'institut Fourier (1994)
- Volume: 44, Issue: 1, page 213-248
- ISSN: 0373-0956
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top- [1]M. BURGER, Kazhdan constants for SL(3, ℤ), J. reine angew. Math., 413 (1991), 36-67. Zbl0704.22009MR92c:22013
- [2]D.I. CARTWRIGHT, A.M. MANTERO, T. STEGER, A. ZAPPA, Groups acting simply transitively on the vertices of a building of type Ã2 I, Geom. Ded., 47 (1993), 143-166. Zbl0784.51010MR95b:20053
- [3]D.I. CARTWRIGHT, A.M. MANTERO, T. STEGER, A. ZAPPA, Groups acting simply transitively on the vertices of a building of type Ã2 II : the cases q = 2 and q = 3, Geom. Ded., 47 (1993), 167-223. Zbl0784.51011MR95b:20054
- [4]D.I. CARTWRIGHT, W. MLOTKOWSKI, Harmonic analysis for groups acting on triangle buildings, to appear, J. Aust. Math. Soc. Zbl0808.51014
- [5]J.M. COHEN, L. DE MICHELE, The radial Fourier-Stieltjes algebra of free groups, Operator Algebras and Theory Contemporary Mathematics, 10, Am. Math. Soc., Providence (1982), 33-40. Zbl0488.43007MR84j:22006
- [6]M. COWLING and T. STEGER, The irreducibility of restrictions of unitary representations to lattices, J. reine angew. Math., 420 (1991), 85-98. Zbl0760.22014MR93e:22019
- [7]A. FIGƒ-TALAMANCA and M.A. PICARDELLO, Harmonic Analysis on Free Groups, Lect. Notes Pure Appl. Math., 87 (1983). Zbl0536.43001MR85j:43001
- [8]P. DE LA HARPE, A.G. ROBERTSON and A. VALETTE, On the spectrum of the sum of generators for a finitely generated group, Israel J. Math., 81 (1993), 65-96. Zbl0791.43008MR94j:22007
- [9]P. DE LA HARPE and A. VALETTE, La propriété (T) de Kazhdan pour les groupes localment compacts, Astérisque, Soc. Math. France, 175 (1989). Zbl0759.22001
- [10]R. HOWE, ENG CHYE TAN, Non-Abelian Harmonic Analysis, Applications of SL(2, ℝ), Universitext, Springer-Verlag, New York (1992). Zbl0768.43001
- [11]D.R. HUGHES, F.C. PIPER, Projective Planes, Graduate Texts in Mathematics, 6 (1973). Zbl0267.50018MR48 #12278
- [12]A. IOZZI, M.A. PICARDELLO, Spherical functions on symmetric graphs, p. 344-386 in Harmonic Analysis, Lecture Notes in Math. 992, Springer Verlag, Berlin Heidelberg New York (1983). Zbl0535.43005MR85c:43009
- [13]S. LANG, SL2 (ℝ), Graduate Texts in Mathematics 105, Springer Verlag, New York Berlin Tokyo (1985). Zbl0583.22001
- [14]A.M. MANTERO and A. ZAPPA, Spherical functions and spectrum of the Laplacian operators on buildings of rank 2, to appear, Boll. Un. Mat. Ital. Zbl0815.51010
- [15]W. MLOTKOWSKI, Positive Definite Radial Functions on Free Product of Groups, Bollettino Un. Mat. Ital. (7), 2-B (1988), 53-66. Zbl0658.43004MR89g:43005
- [16]I. PAYS and A. VALETTE, Sous-groupes libres dans les groupes d'automorphismes d'arbres, L'Enseignement Mathématique, 37 (1991), 151-174. Zbl0744.20024MR92f:20028
- [17]M. RONAN, Lectures on Buildings, Perspectives in Math., vol. 7., Academic Press, (1989). Zbl0694.51001MR90j:20001
- [18]H.H. SCHAEFER, Banach lattices and positive operators, Grundlehren der Math. Wiss., Springer-Verlag, Berlin, (1974). Zbl0296.47023MR54 #11023
- [19]J. TITS, Buildings of spherical type and finite BN-pairs, Lecture Notes in Math., 386 (1974). Zbl0295.20047MR57 #9866
- [20]J. TITS, Immeubles de type affine in Buildings and the Geometry of Diagrams, Proc. CIME Como 1984 (L.A. Rosati, ed), Lecture Notes in Math., 1181, Springer-Verlag, Berlin (1986), 159-190. Zbl0611.20026
Citations in EuDML Documents
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- Sylvain Barré, Sur les polyèdres de rang 2
- Alain Valette, On the Haagerup inequality and groups acting on -buildings
- Alain Valette, Graphes de Ramanujan et applications
- Pierre Pansu, Formules de Matsushima, de Garland et propriété (T) pour des groupes agissant sur des espaces symétriques ou des immeubles
- Yehuda Shalom, Explicit Kazhdan constants for representations of semisimple and arithmetic groups
- Alain Valette, Nouvelles approches de la propriété (T) de Kazhdan