Excision en k-théorie algébrique
Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Talk no. 752, 21 p.
@incollection{SB_1991-1992__34__251_0,
     author = {Loday, Jean-Louis},
     title = {Excision en $k$-th\'eorie alg\'ebrique},
     booktitle = {S\'eminaire Bourbaki : volume 1991/92, expos\'es 745-759},
     series = {Ast\'erisque},
     note = {talk:752},
     pages = {251--271},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {206},
     year = {1992},
     mrnumber = {1206070},
     zbl = {0795.19001},
     language = {fr},
     url = {http://archive.numdam.org/item/SB_1991-1992__34__251_0/}
}
TY  - CHAP
AU  - Loday, Jean-Louis
TI  - Excision en $k$-théorie algébrique
BT  - Séminaire Bourbaki : volume 1991/92, exposés 745-759
AU  - Collectif
T3  - Astérisque
N1  - talk:752
PY  - 1992
SP  - 251
EP  - 271
IS  - 206
PB  - Société mathématique de France
UR  - http://archive.numdam.org/item/SB_1991-1992__34__251_0/
LA  - fr
ID  - SB_1991-1992__34__251_0
ER  - 
%0 Book Section
%A Loday, Jean-Louis
%T Excision en $k$-théorie algébrique
%B Séminaire Bourbaki : volume 1991/92, exposés 745-759
%A Collectif
%S Astérisque
%Z talk:752
%D 1992
%P 251-271
%N 206
%I Société mathématique de France
%U http://archive.numdam.org/item/SB_1991-1992__34__251_0/
%G fr
%F SB_1991-1992__34__251_0
Loday, Jean-Louis. Excision en $k$-théorie algébrique, in Séminaire Bourbaki : volume 1991/92, exposés 745-759, Astérisque, no. 206 (1992), Talk no. 752, 21 p. http://archive.numdam.org/item/SB_1991-1992__34__251_0/

[B] Bass, H., Algebraic K-theory, Benjamin, 1968. | MR | Zbl

[C] Connes, A., Non-commutative differential geometry, Publ. Math. IHES 62 (1985), 257-360. | Numdam | MR | Zbl

[G-W] Geller, S. and Weibel, C., K(A,B,I) : II, J. K-theory 2 (1989), 753-760. | MR | Zbl

[G] Goodwillie, T. G., Relative algebraic K-theory and cyclic homology, Ann. of Math. 124 (1986), 347-402. | MR | Zbl

[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. | MR | Zbl

[H] Hanlon, P., On the complete GL(n, C)-decomposition of the stable cohomology of gln(A), Trans. AMS 308 (1988), 209-225. | MR | Zbl

[K] Keune, F., The relativization of K2, J. Algebra 54 (1978), 159-177. | MR | Zbl

[L1] Loday, J.-L., K-théorie algébrique et représentations de groupes, Ann. Sc. Ec. Norm. Sup. 9 (1976), 309-377. | Numdam | MR | Zbl

[L2] Loday, J.-L., Cyclic Homology, Grund. Math. Wiss. 301, 1992, Springer-Verlag. | MR | Zbl

[L-Q] Loday, J.-L. and Quillen, D., Cyclic homology and the Lie algebra homology of matrices, Comment. Math. Helvetici 59 (1984), 565- 591. | MR | Zbl

[M] Milnor, J., Introduction to algebraic K-theory, Ann. Math. Studies 72, Princeton U. Press. 1974. | MR | Zbl

[P] Pickel, P. F., Rational cohomology of nilpotent groups and Lie algebras, Comm. in Alg. 6(1978), 409-419. | MR | Zbl

[Q] Quillen, D., Cohomology of groups, Actes Congrès International des Mathématiciens, t. II, 1970, 47-51. | MR | Zbl

[Su1] Suslin, A., On the equivalence of K-theories, Comm. in alg. 9 (1981), 1559-1566. | MR | Zbl

[Su2] Suslin, A., On the acyclicity of the sum of triangular complexes, preprint, University of Utrecht, (1991), 6 p.

[S-W] Suslin, A. and Wodzicki, M., Excision in algebraic K-theory, Ann. of Maths. 136 (1992), 51-122. | MR | Zbl

[Sw] Swan, R. G., Excision in algebraic K-theory, J. Pure Applied Algebra 1 (1971), 221-252. | MR | Zbl

[T] Tsygan, B. L., The homology of matrix Lie algebras over rings and the Hochschild homology (en russe), Uspekhi Mat. Nauk 38 (1983), 217-218 - Russ. Math. Survey 38 n°2 (1983), 198-199. | MR | Zbl

[W1] Wodzicki, M., Excision in cyclic homology and in rational algebraic K-theory, Ann. Math. 129 (1989), 591-639. | MR | Zbl

[W2] Wodzicki, M., Homological properties of rings of functional analytic type, Proc. Nat. Acad. Sci. USA 87 (1990), 4910-4911. | MR | Zbl

[W3] Wodzicki, M., The long exact sequence in cyclic homology associated with an extension of algebras, Comptes Rendus Acad. Sci. Paris Sér. A-B 307 (1988), 249-254. | MR | Zbl