×
Kassel, Christian

La K-théorie stable. (French) Zbl 0507.18003

Bull. Soc. Math. Fr. 110, 381-416 (1982).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0507.18003

Cited in 6 Documents

MSC:

18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
16E40 (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.)
55N15 Topological \(K\)-theory

Keywords:

simplicial ring; algebraic K-groups; stable K-groups; Hochschild homology; spectral sequence
PDF BibTeX XML Cite
\textit{C. Kassel}, Bull. Soc. Math. Fr. 110, 381--416 (1982; Zbl 0507.18003)
Full Text: DOI Numdam EuDML

References:

[1] ANDERSON (D. W.) . - Chain functors and homology theories , Symp. Alg. Top. 1971 , Springer Lect. Notes in Math. n^\circ 249, 1-12. MR 49 #3895 | Zbl 0229.55005 · Zbl 0229.55005
[2] DENNIS (R. K.) . - Algebraic K-theory and Hochschild homology , exposé (non publié), Conf. Evanston, janvier 1976 .
[3] DWYER (W.) . - Twisted homological stability for general linear groups , Ann. of Math. 111 ( 1980 ), 239-251. MR 81b:18006 | Zbl 0404.18012 · Zbl 0404.18012
[4] EVENS (L.) et FRIEDLANDER (E.) . - On K*(\Bbb Z/p2\Bbb Z) and related homology groups , Trans. A.M.S. 270 ( 1982 ), 1-46. MR 83j:18013 | Zbl 0492.18008 · Zbl 0492.18008
[5] FARRELL (T.) et HSIANG (W. C.) . - On the rational homotopy groups of the diffeomorphism groups of spheres, discs and aspherical manifolas , Proc. Symp. Pure Math. 32 ( 1978 ) I, 325-338. Zbl 0393.55018 · Zbl 0393.55018
[6] IGUSA (K.) . - What happens to Hatcher and Wagoner’s formula for \pi 0C(M) when the first Postnikov invariant of M is non-trivial ? , préprint Brandeis U. · Zbl 0546.57015
[7] KAN (D. M.) . - A combinatorial definition of homotopy groups , Ann. of Math. 67 ( 1958 ), 282-312. MR 22 #1897 | Zbl 0091.36901 · Zbl 0091.36901
[8] VANDER KALLEN (W.) . - Homology stability for linear groups , Inv. Math. 60 ( 1980 ), 269-295. MR 82c:18011 | Zbl 0415.18012 · Zbl 0415.18012
[9] KASSEL (C.) . - Calcul algébrique de l’homologie de certains groupes de matrices , à paraître au Journal of Algebra ( 1982 ). Zbl 0511.18014 · Zbl 0511.18014
[10] KASSEL (C.) . - K-théorie relative d’un idéal bilatère de carré nul , Conf. K-théorie alg. Evanston 1980 , Springer Lect. Notes in Math. n^\circ 854, 249-261. MR 82i:18015 | Zbl 0537.18006 · Zbl 0537.18006
[11] KASSEL (C.) . - Homologie du groupe linéaire général et K-théorie stable , Thèse, Université de Strasbourg, juin 1981 .
[12] KASSEL (C.) . - Stabilisation de la K-théorie algébrique des espaces topologiques , à paraître aux Ann. Sc. E.N.S. 15 ( 1982 ). Numdam | Zbl 0515.18009 · Zbl 0515.18009
[13] LANG (S.) . - Algebra , Addison Wesley ( 1965 ). MR 33 #5416 | Zbl 0193.34701 · Zbl 0193.34701
[14] LODAY (J.-L.) . - K-théorie algébrique et représentations de groupes , Ann. Sc. E.N.S. 9 ( 1976 ), 309-377. Numdam | MR 56 #5686 | Zbl 0362.18014 · Zbl 0362.18014
[15] LODAY (J.-L.) . - Homotopie des espaces de concordances , Sém. Bourbaki n^\circ 516, Springer Lect. Notes in Math. n^\circ 710. Numdam | Zbl 0443.57023 · Zbl 0443.57023
[16] MACLANE (S.) . - Homology , Springer Verlag ( 1963 ). MR 28 #122 | Zbl 0133.26502 · Zbl 0133.26502
[17] MAY (J. P.) . - Simplicial objects in algebraic topology , Van Nostrand ( 1967 ). MR 36 #5942 | Zbl 0165.26004 · Zbl 0165.26004
[18] MAY (J. P.) . - A\infty -ring spaces and algebraic K-theory , Springer Lect. Notes in Math. n^\circ 658, 240-315. MR 80k:55015 | Zbl 0425.18014 · Zbl 0425.18014
[19] RAGHUNATHAN (M. S.) . - A note on quotients of real algebraic groups by arithmetic subgroups , Inv. Math. 4 ( 1968 ), 318-335. MR 37 #5894 | Zbl 0218.22015 · Zbl 0218.22015
[20] SERRE (J.-P.) . - Groupes d’homotopie et classes de groupes abéliens , Ann. of Math. 58 ( 1953 ), 258-294. MR 15,548c | Zbl 0052.19303 · Zbl 0052.19303
[21] SNAITH (V.) . - On K3 of dual numbers , preprint Western Ontario 1980 .
[22] STALLINGS (J.) . - Centerless groups , an algebraic formulation of Gottlieb’s theorem, Topology 4 ( 1965 ), 129-134. MR 34 #2666 | Zbl 0201.36001 · Zbl 0201.36001
[23] WALDHAUSEN (F.) . - Algebraic K-theory of topological spaces I , Proc. Symp. Pure Math. 32 ( 1978 ), 35-60. MR 81i:18014a | Zbl 0414.18010 · Zbl 0414.18010
[24] WALDHAUSEN (F.) . - Algebraic K-theory of topological spaces II , Springer Lect. Notes in Math. n^\circ 763 ( 1979 ), 356-394. MR 81i:18014b | Zbl 0431.57004 · Zbl 0431.57004
[25] WHITEHEAD (G. W.) . - Elements of homotopy theory , Springer Verlag ( 1978 ). MR 80b:55001 | Zbl 0406.55001 · Zbl 0406.55001
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.