Liste des publications

Bachir BEKKA

LIVRES

63.

Unitary representations of groups,duals, and characters (avec P. de la Harpe)

A paraître dans Mathematical Surveys and Monographs, American Mathematical Society

62.

Kazhdan's Property (T) (avec P. de la Harpe et A. Valette),

472 pages +xiii, Cambridge University Press 2008

61.

Ergodic Theory and Topological Dynamics for Group Actions on 

homogeneous Spaces (avec M. Mayer), 200 pages+vii, Cambridge

University Press 2000

ARTICLES 

60.

Character rigidity of simple algebraic groups,

Math. Ann. 378(3), 1223-1243 (2020)

59.

Quasi-regular representations of discrete groups and associated C*-algebras (avec M. Kalantar),

Trans. Amer. Math. Soc., 373 (3), 2105–2133 (2020)

58.

Infinite characters of GL(n,Q), SL(n,Z) and of groups acting on trees,

J. Funct. Anal. 277,  no. 7, 2160–2178 (2019).

disponible sur :https://hal.archives-ouvertes.fr/hal-01824201 et https:// arXiv:1806.10110

57.

Property (T) for locally compact groups and C*-algebras (avec C-K. Ng),

Proc. Amer. Math. Soc. 147, no. 5, 2159–2169 (2019)

disponible sur :https://hal.archives-ouvertes.fr/hal-01745801/document et https://arxiv.org/abs/1803.10933

56.

Spectral gap property and strong ergodicity for groups of affine transformations of solenoids (avec C. Francini),

à paraître dans Ergodic Theory. & Dynamical Systems 40 (5), 1180-1193 (2020)

disponible sur : https://hal.archives-ouvertes.fr/hal-0171693 et https://arxiv.org/abs/1802.08996

55.

Spectral rigidity of group actions on homogeneous spaces,

Handbook of Group Actions (Vol. IV), Higher Education Press

and International Press Beijing-Boston, p.563—625 (2018).

disponible sur: https://hal.archives-ouvertes.fr/hal-01270244v2 et https://arxiv.org/pdf/1602.02892.pdf

54.

Harmonic cocycles, von Neumann algebras, and irreducible affine isometric actions,

New York J. Math. 23, 1205--1218 (2017).

53. 

Irreducible affine isometric actions on Hilbert spaces(avec T. Pillon et A. Valette),

Münster J. of Math. 9, 1--34 (2016).

52.

Local rigidity for actions of Kazhdan groups on noncommutative Lp-spaces,

Internat. J. Math. 26, 1550064 (20 p.), (2015). 

51.

On the spectral theory of groups of affine transformations of compact nilmanifolds (avec Y. Guivarc'h), 

 Ann. Sci.  Ecole Normale Supérieure 48, 607--645 (2015).

50.

On groups with Property (T_lp)(avec  B. Olivier), 

 J. Funct. Anal. 267, 643--659 (2014).

49.

Groups  with faithful irreducible projective unitary representations (avec P. de la Harpe),

Forum Math. 25,  505--531 (2013).

48.  

Lattices with and lattices without spectral gap (avec A. Lubotzky),

Groups, Geometry, and Dynamics  5, 251--264 (2011) 

47. 

Random products of automorphisms of Heisenberg nilmanifolds and Weil's representation (avec J-R. Heu), 

Ergodic Theory and Dynamical Systems 31, 1277--1286  (2011)

46. 

A spectral gap property for subgroups of finite covolume in Lie groups (avec Y. de Cornulier),

Colloquium Math. 118, 175--182 (2010) 

45.

Irreducibly represented groups (avec P. de la Harpe),

Comment. Math. Helv. 83, 847--868 (2008)

44. 

Operator-algebraic superrigidity for SL_n(Z), n>=3,

Inventiones Math. 169, 401-425 (2007) 

43.

A spectral gap property for random walks under

unitary representations (avec Y. Guivarc'h),

 Geometriae  Dedicata 118, 141 - 155 (2006)

42. 

A Property (T) for C*-algebras, 

 Bull. London Math. Soc. 38, 857-867 (2006)

41.

Square integrable representations, von Neumann algebras and an appli- 

cation to Gabor analysis,

J. Fourier Anal. Appl. 10, 325-349 (2004)

40. 

On Mackey's irreducibility criterion for induced representations (avec 

R. Curtis), 

Inter. Math. Res. Not. 31, 2095-2101 (2003)

39. 

Irreducibility of unitary group representations and reproducing kernel 

Hibert spaces (avec P. de la Harpe), 

Expositiones Math. 21, 115-149  (2003)

38. 

Kazhdan's Property (T ) for the unitary group of a separable Hilbert 

space, 

Geom. Funct. Analysis (GAFA) 13, 509-520 (2003)

37. 

Familles de graphes expanseurs et paires de Hecke (avec R. Curtis et 

P. de la Harpe), 

C. R. Acad. Sci. Paris 335, 463-468 (2002)

36. 

Some irreducible unitary representations of G(K) for a simple algebraic 

group G over a number field K (avec M. Cowling), 

Math. Z. 241, 731-741 (2002)

35. 

On Kazhdan's Property (T) for Sp(n,k) (avec M. Neuhauser), 

Journal of Lie Theory 12, 31-39 (2002)

34. 

Ergodic actions on nilmanifolds and restriction of unitary representa- 

tions to lattices (avec P. Driutti), 

Math. Proc. Cambr. Phil. Soc. 131, 91-96 (2001)

33. 

Countable groups with simple reduced C*-algebras (avec P. de la

Harpe), 

Expositiones Math. 18, 215-300, 2000

32.

Square integrable representations, lattices and von Neumann algebras, 

"Lie Theory and Its Applications in Physics III" (Ed. Doebner, Dobrev, 

Hilgert), 27-40, World Scientific 2000

31. 

Some properties of C*-algebras associated to discrete linear groups (avec

N. Louvet), "C*-algebras" (Ed. Cuntz, Echterhoff), 1-22, Springer,

2000

30. 

On Kazhdan's Property (T) and Kazhdan's constants associated to a 

Laplacian for SL(3;R) (avec M. Mayer), 

Journal of Lie Theory 10, 93-105 (2000)

29. 

Restrictions of irreducible unitary representations of nilpotent Lie groups 

to lattices (avec P. Driutti), 

Journal of Funct. Anal. 168, 514-528  (1999)

28. 

On the full C*-algebra of arithmetic lattices and the congruence sub- 

group problem, 

Forum Math. 11, 705-715 (1999)

27. 

Kazhdan constants associated with Laplacian on connected Lie groups 

(avec P.-A. Cherix et P. Jolissaint), 

Journal of Lie Theory 8, 95-110  (1998)

26. 

On a variant of Kazhdan's property (T) for lattices in a product of 

simple Lie groups (avec N. Louvet),

 Ann. Inst. Fourier 47, 1065-1078 (1997)

25.

On uniqueness of invariant means, 

Proc. Amer. Math. Soc. 128, 507-514 (1998)

24. 

Weak*-closed subspaces of the Fourier-Stieltjes algebra of a locally 

compact group and continuity of the restriction map (avec E. Ka- 

niuth, A. Lau et G. Schlichting), 

Trans. Amer. Math. Soc. 350, 2277-2296 (1998)

23. 

Restrictions of unitary representations to lattices and 

associated C*algebras, 

Journal Funct. Anal. 143, 33-41 (1996)

22. 

On C*-algebras associated with locally compact groups (avec E. Ka-

niuth, A. Lau et G. Schlichting), 

Proc. Amer. Math. Soc. 124, 3151-3158 (1996)

21. 

Group cohomology, harmonic functions and the first L2 

-Betti number (avec A. Valette), 

J. Potential Theory 6, 313-326 (1997)

20. 

Proper affine isometric actions of amenable groups (avec P.-A. Cherix 

et A. Valette), in "Novikov conjectures, Index Theorems, and Rigid- 

ity" Lecture Notes Series 226, London Math. Soc., Cambridge Univ. 

Press 1995

19. 

Some groups with a simple reduced C*-algebra (avec M. Cowling et 

P. de la Harpe),

Publ. Math. IHES 80, 117-134 (1994)

18. 

Lattices in semi-simple Lie groups and multipliers of group C*-algebras 

(avec A. Valette), in "Recent advances in operator algebras" (Orleans, 

1992), Asterisque 232, Soc. Math. France, 67-79 (1995)

17. 

Simplicity of the reduced C*-algebra of PSL(n;Z) (avec M. Cowling 

et P. de la Harpe), 

Inter. Math. Res. Not.7, 285-291 (1994)

16. 

Representations d'un groupe faiblement equivalentes a la repr?esentation

reguliere (avec P. de la Harpe),

 Bull. Soc. Math. France 122, 333-342 (1994)

15. 

On duals of Lie groups made discrete (avec A.Valette), 

J. reine u.angew. Math. 439, 1-10 (1993)

14. 

Kazhdan's property (T) and amenable representations (avec A. Valette), 

Math. Z. 212, 293-299 (1993)

13. 

On L1 -kernels of unitary representations of semisimple Lie groups (avec 

J. Ludwig), 

Math. Proc. Cambr. Phil. Soc. 112, 343-348 (1992)

12. 

On invariant subalgebras of the Fourier-Stieltjes algebra of a locally 

compact group (avec A. Lau et G. Schlichting), 

Math. Ann. 294, 513-522(1992)

11. 

On a question of R. Godement about the spectrum of positive, positive 

definite functions, 

Math. Proc. Cambr. Phil. Soc. 110, 137-142 (1991)

10. 

Amenable unitary representations of locally compact groups, 

Inventiones Math. 100, 383-401 (1990)

9. 

Complemented subspaces of L1(G), ideals of L1(G) and amenability,

Monatsh. Math. 109, 195-203 (1990)

8. 

Complemented *-primitive ideals in L1  -algebras of exponential Lie groups 

and of motion groups (avec J. Ludwig),

 Math. Z. 204, 515-526  (1990)

7. 

A characterization of locally compact amenable groups by means of ten- 

sor products, 

Arch. Math. 52, 424-427 (1989)

6. 

Topological Frobenius properties of nilpotent groups (avec E. Kaniuth), 

Math. Scand. 63, 282-296 (1988)

5. 

Irreducible representations of locally compact groups that cannot be 

Hausdorff separated from the identity representation (avec E. Kaniuth), 

J. reine u. angew. Math. 385, 203-220 (1988)

4. 

Primitive ideals with bounded approximate units in L1-algebras 

of exponential Lie groups, 

J. Austral. Math. Soc. (Series A) 41, 441-420

3. 

The projection theorem for spectral sets, 

Monatsh. Math. 101, 1-10 (1986)

2. 

On bounded approximate units in ideals of group algebras, 

Math. Ann. 266, 391-396 (1984)

TRAVAUX D'EDITION

1.

Proceedings of the Conference on Harmonic Analysis 2002

Editeurs: B.Bekka,  J. Ludwig, C. Molitor-Braun et N. Poncin 

Travaux mathématiques XIV,  University of Luxembourg, 2003