Liste des publications

                                                           Bachir BEKKA

LIVRES

1. Ergodic Theory and Topological Dynamics for Group Actions on 

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

University Press 2000

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

472 pages +xiii, Cambridge University Press 2008

ARTICLES 

1.

 Groups with faithful irreducible

projective unitary representations  (avec P. de la Harpe),

a paraître dans Forum Mathematicum 2012 

2.

Lattices with and lattices without

spectral gap (avec A. Lubotzky),

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

3. 

Random products of automorphisms of 

Heisenberg nilmanifolds and Weil’s representation (avec J-R. Heu ),

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

4. 

A spectral gap property for subgroups of finite covolume in Lie groups

(avec Y. de Cornulier),

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

5.

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

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

6. 

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

Inventiones Math. 169, 401-425 (2007) 

7.

A spectral gap property for random walks under

unitary representations (avec Y. Guivarc'h),

 Geometriae  Dedicata 118, 141 - 155 (2006)

8. 

A Property (T) for C*-algebras, 

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

9.

Square integrable representations, von Neumann algebras and an appli- 

cation to Gabor analysis,

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

10. 

On Mackey's irreducibility criterion for induced representations (avec 

R. Curtis), 

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

11. 

Irreducibility of unitary group representations and reproducing kernel 

Hibert spaces (avec P. de la Harpe), 

Expositiones Math. 21, 115-149  (2003)

12. 

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

space, 

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

13. 

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)

14. 

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)

15. 

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

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

16. 

Ergodic actions on nilmanifolds and restriction of unitary representa- 

tions to lattices (avec P. Driutti), 

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

17. 

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

Harpe), 

Expositiones Math. 18, 215-300, 2000

18.

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

19. 

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

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

2000

20. 

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)

21. 

Restrictions of irreducible unitary representations of nilpotent Lie groups 

to lattices (avec P. Driutti), 

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

22. 

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

group problem, 

Forum Math. 11, 705-715 (1999)

23. 

Kazhdan constants associated with Laplacian on connected Lie groups 

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

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

24. 

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)

26. 

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)

27. 

Restrictions of unitary representations to lattices and 

associated C*algebras, 

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

28. 

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)

29. 

Group cohomology, harmonic functions and the first L2 

-Betti number (avec A. Valette), 

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

30. 

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

31. 

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

P. de la Harpe),

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

32. 

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)

33. 

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)

34. 

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

reguliere (avec P. de la Harpe),

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

35. 

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

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

36. 

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

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

37. 

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

J. Ludwig), 

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

38. 

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)

39. 

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

definite functions, 

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

40. 

Amenable unitary representations of locally compact groups, 

Inventiones Math. 100, 383-401 (1990)

41. 

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

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

42. 

Complemented *-primitive ideals in L1 

-algebras of exponential Lie groups 

and of motion groups (avec J. Ludwig),

 Math. Z. 204, 515-526  (1990)

43. 

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

sor products, 

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

44. 

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

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

45. 

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)

46. 

Primitive ideals with bounded approximate units in L1-algebras 

of exponential Lie groups, 

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

47. 

The projection theorem for spectral sets, 

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

48. 

On bounded approximate units in ideals of group algebras, 

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