Excision en k -théorie algébrique

Jean-Louis Loday

Séminaire Bourbaki (1991-1992)

  • Volume: 34, page 251-271
  • ISSN: 0303-1179

How to cite


Loday, Jean-Louis. "Excision en $k$-théorie algébrique." Séminaire Bourbaki 34 (1991-1992): 251-271. <http://eudml.org/doc/110155>.

author = {Loday, Jean-Louis},
journal = {Séminaire Bourbaki},
keywords = {rational algebraic -theory; excision},
language = {fre},
pages = {251-271},
publisher = {Société Mathématique de France},
title = {Excision en $k$-théorie algébrique},
url = {http://eudml.org/doc/110155},
volume = {34},
year = {1991-1992},

AU - Loday, Jean-Louis
TI - Excision en $k$-théorie algébrique
JO - Séminaire Bourbaki
PY - 1991-1992
PB - Société Mathématique de France
VL - 34
SP - 251
EP - 271
LA - fre
KW - rational algebraic -theory; excision
UR - http://eudml.org/doc/110155
ER -


  1. [B] Bass, H., Algebraic K-theory, Benjamin, 1968. Zbl0174.30302MR249491
  2. [C] Connes, A., Non-commutative differential geometry, Publ. Math. IHES62 (1985), 257-360. Zbl0592.46056MR823176
  3. [G-W] Geller, S. and Weibel, C., K(A,B,I) : II, J. K-theory2 (1989), 753-760. Zbl0675.18010MR1010981
  4. [G] Goodwillie, T.G., Relative algebraic K-theory and cyclic homology, Ann. of Math.124 (1986), 347-402. Zbl0627.18004MR855300
  5. [GW-L] Guin-Waléry, D. et Loday, J.-L., Obstruction à l'excision en K-théorie algébrique, Springer Lect. Notes in Math.854 (1981), 179-216. Zbl0461.18007MR618305
  6. [H] Hanlon, P., On the complete GL(n, C)-decomposition of the stable cohomology of gln(A), Trans. AMS308 (1988), 209-225. Zbl0659.17011MR946439
  7. [K] Keune, F., The relativization of K2, J. Algebra54 (1978), 159-177. Zbl0403.18009MR511460
  8. [L1] Loday, J.-L., K-théorie algébrique et représentations de groupes, Ann. Sc. Ec. Norm. Sup.9 (1976), 309-377. Zbl0362.18014MR447373
  9. [L2] Loday, J.-L., Cyclic Homology, Grund. Math. Wiss.301, 1992, Springer-Verlag. Zbl0780.18009MR1217970
  10. [L-Q] Loday, J.-L. and Quillen, D., Cyclic homology and the Lie algebra homology of matrices, Comment. Math. Helvetici59 (1984), 565- 591. Zbl0565.17006MR780077
  11. [M] Milnor, J., Introduction to algebraic K-theory, Ann. Math. Studies72, Princeton U. Press. 1974. Zbl0237.18005MR349811
  12. [P] Pickel, P.F., Rational cohomology of nilpotent groups and Lie algebras, Comm. in Alg.6(1978), 409-419. Zbl0403.20031MR491902
  13. [Q] Quillen, D., Cohomology of groups, Actes Congrès International des Mathématiciens, t. II, 1970, 47-51. Zbl0225.18011MR488054
  14. [Su1] Suslin, A., On the equivalence of K-theories, Comm. in alg.9 (1981), 1559-1566. Zbl0469.18010MR630325
  15. [Su2] Suslin, A., On the acyclicity of the sum of triangular complexes, preprint, University of Utrecht, (1991), 6 p. 
  16. [S-W] Suslin, A. and Wodzicki, M., Excision in algebraic K-theory, Ann. of Maths.136 (1992), 51-122. Zbl0756.18008MR1173926
  17. [Sw] Swan, R.G., Excision in algebraic K-theory, J. Pure Applied Algebra1 (1971), 221-252. Zbl0262.16025MR308240
  18. [T] Tsygan, B.L., The homology of matrix Lie algebras over rings and the Hochschild homology (en russe), Uspekhi Mat. Nauk38 (1983), 217-218 - Russ. Math. Survey38 n°2 (1983), 198-199. Zbl0526.17006MR695483
  19. [W1] Wodzicki, M., Excision in cyclic homology and in rational algebraic K-theory, Ann. Math.129 (1989), 591-639. Zbl0689.16013MR997314
  20. [W2] Wodzicki, M., Homological properties of rings of functional analytic type, Proc. Nat. Acad. Sci. USA87 (1990), 4910-4911. Zbl0717.46063MR1058786
  21. [W3] Wodzicki, M., The long exact sequence in cyclic homology associated with an extension of algebras, Comptes Rendus Acad. Sci. Paris Sér. A-B307 (1988), 249-254. Zbl0663.14013MR934604

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