Feuilletages et algèbres d'opérateurs

Alain Connes

Séminaire Bourbaki (1979-1980)

  • Volume: 22, page 139-155
  • ISSN: 0303-1179

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Connes, Alain. "Feuilletages et algèbres d'opérateurs." Séminaire Bourbaki 22 (1979-1980): 139-155. <http://eudml.org/doc/109950>.

@article{Connes1979-1980,
author = {Connes, Alain},
journal = {Séminaire Bourbaki},
keywords = {noncommutative differential geometry; index theory for elliptic differential operators; transverse measure; Chern character; Ruelle-Todd class; Ruelle-Sullivan current; trace; dimension function; Kronecker foliation on the two-dimensional torus},
language = {fre},
pages = {139-155},
publisher = {Springer-Verlag},
title = {Feuilletages et algèbres d'opérateurs},
url = {http://eudml.org/doc/109950},
volume = {22},
year = {1979-1980},
}

TY - JOUR
AU - Connes, Alain
TI - Feuilletages et algèbres d'opérateurs
JO - Séminaire Bourbaki
PY - 1979-1980
PB - Springer-Verlag
VL - 22
SP - 139
EP - 155
LA - fre
KW - noncommutative differential geometry; index theory for elliptic differential operators; transverse measure; Chern character; Ruelle-Todd class; Ruelle-Sullivan current; trace; dimension function; Kronecker foliation on the two-dimensional torus
UR - http://eudml.org/doc/109950
ER -

References

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  1. [1] M.F. Atiyah, I. Singer - The index of elliptic operators IV, Annals of Math., 93(1971). Zbl0212.28603MR279833
  2. [2] M.F. Atiyah - Elliptic operators, discrete groups, and von Neumann algebras, Astérisque, 32-33(1976), 43-72. Zbl0323.58015MR420729
  3. [3] M.F. Atiyah, - W. Schmid - A geometric construction of the discrete series for semi simple Lie groups, Invent. Math., 42(1977), 1-62. Zbl0373.22001MR463358
  4. [4] B. Blackadar - A simple unital projectionless C*-algebra, preprint, University of Nevada, Reno. MR613047
  5. [5] R. Bowen - Anosov foliations are hyperfinite, Ann. of Math., 106(1977), 549-565. Zbl0374.58008MR461584
  6. [6] A. Connes - Sur la théorie non commutative de l'intégration, Springer, Lecture notes in Math., 725(1979), 19-143. Zbl0412.46053MR548112
  7. [7] A. Connes - An analogue of the Thom isomorphism for cross products of a C*-algebra by an action of R , preprint. 
  8. [8] A. Connes - C*-algebres et géométrie différentielle, preprint. Zbl0433.46057MR572645
  9. [9] J. Cuntz - K-theory for certain C*-algebras, preprint. 
  10. [10] H. Dye - On groups of measure preserving transformations II (Amer. J. of Math., t. 85, p. 551-576). Zbl0191.42803MR158048
  11. [11] A. Fathi, M. Herman - Existence de difféomorphismes minimaux,preprint, Ecole Polytechnique, 1976. MR482843
  12. [12] J. Feldman, C. Moore - Ergodic equivalence relations, von Neumann algebras and cohomology, preprint. 
  13. [13] W. Krieger - On the Araki-Woods asymptotic ratio set and non singular transformations, Lecture notes, N° 160(1970), 158-177. Zbl0213.34103MR414823
  14. [14] G. Mackey - Ergodic theory, group theory and differential geometry, Proc. Nat. Acad. Sciences U.S.A. (1963), 1184-1191. Zbl0178.38801MR165034
  15. [15] G. Mackey - Ergodic theory and virtual groups, Math. Ann., 166(1966), 187-207. Zbl0178.38802MR201562
  16. [16] J. Milnor - Introduction to algebraic K-theory, Annals of Math. Studies, N° 72, Princeton. Zbl0237.18005
  17. [17] J. Milnor, J. Stasheff - Characteristic classes, Ann. of Math. Studies, N° 76, Princeton. Zbl0298.57008
  18. [18] H. Moscovici, A. Connes - The L2 index theorem for homogeneous spaces, Bull. A.M.S., Vol. 1 N° 4 (1979). Zbl0443.58021MR532554
  19. [19] M. Pimsner, D. Voiculescu - Exact sequence for K-groups and Ext groups of certain cross product C*-algebras, preprint. Zbl0474.46059MR587369
  20. [20] M. Rieffel - Irrational ratation C*-algebras, (Short communications I.C.M.1978). 
  21. [21] D. Ruelle, D. Sullivan - Currents, flows and diffeomorphisms, Topology, 14(1975), 319-327. Zbl0321.58019MR415679
  22. [22] W. Rudin - Real and Complex Analysis, Mc Graw Hill Series in Math. Zbl0142.01701
  23. [23] J.L. Sauvageot - Idéaux primitifs induits dans les produits croisés, J. Funct. Analysis. Zbl0434.46036MR538862
  24. [24] I. Singer - Some remarks on operator theory and index theory, Lecture notes in Math. Vol. 575(1977). Zbl0444.47040MR467848
  25. [25] D. Sullivan - Cycles and the dynamical study of foliated manifolds, Inv. Math., 36(1976), 225-255. Zbl0335.57015MR433464
  26. [26] H.E. Winkelnkemper - The graph of a foliation, preprint. 

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