Algèbres de von Neumann de groupes libres et probabilités non commutatives

Georges Skandalis

Séminaire Bourbaki (1992-1993)

  • Volume: 35, page 87-102
  • ISSN: 0303-1179

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Skandalis, Georges. "Algèbres de von Neumann de groupes libres et probabilités non commutatives." Séminaire Bourbaki 35 (1992-1993): 87-102. <http://eudml.org/doc/110180>.

@article{Skandalis1992-1993,
author = {Skandalis, Georges},
journal = {Séminaire Bourbaki},
keywords = {non commutative random variables; matrices with independent Gaussian coefficients; factors; free group},
language = {fre},
pages = {87-102},
publisher = {Société Mathématique de France},
title = {Algèbres de von Neumann de groupes libres et probabilités non commutatives},
url = {http://eudml.org/doc/110180},
volume = {35},
year = {1992-1993},
}

TY - JOUR
AU - Skandalis, Georges
TI - Algèbres de von Neumann de groupes libres et probabilités non commutatives
JO - Séminaire Bourbaki
PY - 1992-1993
PB - Société Mathématique de France
VL - 35
SP - 87
EP - 102
LA - fre
KW - non commutative random variables; matrices with independent Gaussian coefficients; factors; free group
UR - http://eudml.org/doc/110180
ER -

References

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  1. [1] A. Connes : Classification of injective factors, Annals of Math.104 (1976) 73-115. Zbl0343.46042MR454659
  2. [2] A. Connes : A factor of type II1 with countable fundamental group. J. Operator Theory4 (1980) 151-153. Zbl0455.46056MR587372
  3. [3] C. Delaroche et A.A. Kirillov : Sur les relations entre l'espace dual d'un groupe et la structure de ses sous-groupes fermés. Sém. Bourbaki343 (1968). Zbl0214.04602
  4. [4] K. Dykema : Free products of free group factors with matrix algebras and the hyperfinite II1 factor; asymptotic freeness of non gaussian random matrices. preprint. 
  5. [5] K. Dykema : Interpolated free group factors. preprint. MR1256179
  6. [6] K. Dykema : Free products of hyperfinite von Neumann algebras and free dimension. preprint. MR1201693
  7. [7] V. Ya Golodets and N.I. Nessonov : T-property and nonisomorphic full factors of types II and III. J. Funct. Anal.70 (1987) 80-89. Zbl0614.46053MR870754
  8. [8] D.A. Kazhdan : Connection of the dual space of a group and the structure of its closed subgroups. Funct. Anal. Appl.1 (1967) 63-65. Zbl0168.27602MR209390
  9. [9] F.J. Murray et J. von Neumann : On rings of operators IV. Annals of Math.44 (1943) 716-808. Zbl0060.26903MR9096
  10. [10] F. Rădulescu : The fundamental group of the von Neuman algebra of a free group with infinitely many generators is R+ 0.J.A.M.S. à paraître Zbl0791.46036
  11. [11] F. Rădulescu : A one parameter group of automorphisms of L(F∞) ⊗ B(H) scaling the trace.C.R.A.S.314 Sér. I (1992) 1027-1032. Zbl0810.46073
  12. [12] F. Rădulescu : Random matrices, amalgamated free products and subfactors of the von Neuman algebra of a free group.preprint I.H.E.S. (1991). 
  13. [13] D.V. Voiculescu : Symmetries of some reduced free product C*- algebras. In "Operator algebras and their connections with topology and ergodic theory". Lecture Notes in Math.1132Springer-Verlag (1985) 556-588. Zbl0618.46048MR799593
  14. [14] D.V. Voiculescu : Addition of certain non-commuting random variables. J.F.A.66 (1986) 323-346. Zbl0651.46063MR839105
  15. [15] D.V. Voiculescu : Multiplication of certain non-commuting random variables. J. Operator Theory18 (1987) 223-235. Zbl0662.46069MR915507
  16. [16] D.V. Voiculescu : Dual algebraic structures on operator algebras related to free products. J. Operator Theory17 (1987) 85-98. Zbl0656.46058MR873463
  17. [17] D.V. Voiculescu : Limit laws for random matrices and free products. Invent. Math104 (1991) 201-220. Zbl0736.60007MR1094052
  18. [18] D.V. Voiculescu : Circular and semicircular systems and free product factors. Operator Algebras, Unitary Representations, Enveloping Algebras and Invariant Theory, Progress in Mathematics92, Birkhäuser, Boston1990. Zbl0744.46055MR1103585
  19. [19] E. Wigner : Characteristic vectors of bordered matrices with infinite dimension. Ann. of Math.62 (1955) 548-564. Zbl0067.08403MR77805
  20. [20] E. Wigner : On the distribution of the roots of certain symmetric matrices. Ann. of Math.67 (1958) 325-327. Zbl0085.13203MR95527

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