Homologie cyclique et K-théorie
Astérisque, no. 149 (1987), 156 p.
@book{AST_1987__149__1_0,
     author = {Karoubi, Max},
     title = {Homologie cyclique et $K$-th\'eorie},
     series = {Ast\'erisque},
     publisher = {Soci\'et\'e math\'ematique de France},
     number = {149},
     year = {1987},
     zbl = {0648.18008},
     language = {fr},
     url = {http://www.numdam.org/item/AST_1987__149__1_0}
}
Karoubi, Max. Homologie cyclique et $K$-théorie. Astérisque, no. 149 (1987), 156 p. http://www.numdam.org/item/AST_1987__149__1_0/

[1] M. F. Atiyah, R. Bott et A. Shapiro. Clifford modules. Topology 3, 3-38 (1964) | Article | Zbl 0146.19001

[2] M. F. Atiyah et F. Hirzebruch. Vector bundles and homogeneous spaces. Proc. symposium in Pure Maths, Amer. Math. Soc. 3, 7-38 (1961). | Article | Zbl 0108.17705

[3] H. Bass. Algebraic K-theory. Benjamin (1968) | Zbl 0174.30302

[4] A. A. Beilinson. Higher regulators and values of L-functions of curves. Funk. Analysis 14, n°2, 116-117 (1980). | Zbl 0475.14015

[5] A. Borel. Stable real cohomology of arithmetic groups. Annales Sci. Ec. Norm. Sup. (4) 7, 235-272 (1974). | Article | Zbl 0316.57026

[6] D. Burghéléa. The cyclic homology of the group rings-Comment. Math. Helvetici 60, 354-365 (1985). | Article | Zbl 0595.16022

[7] A. Calvo. Homologie cyclique de l'algèbre des matrices triangulaires (à paraître).

[8] H. Cartan. Théories cohomologiques. invent. Math. 35, 261-271 (1976). | Article | Zbl 0334.55005

[9] H. Cartan et S. Eilenberg. Homological algebra. Princeton University Press. Princeton, New-Jersey (1956). | Zbl 0933.18001

[10] J. Cheeger et J. Simons. Differential characters and geometric invariants. Lecture Notes in Math. 1167, Springer (1985). | Zbl 0621.57010

[11] S. S. Chern et J. Simons. Characteristic forms and geometric invariants.Annals of Math. 99, 48-69 (1974). | Article | Zbl 0283.53036

[12] A. Connes. Non commutative differential geometry. Publ. Math. I.H.E.S. n° 62, 257-360 (1985). | Zbl 0592.46056

[13] A. Connes. Cohomologie cyclique et foncteurs Ext n . C.R. Acad. Sci. Paris, t. 296, 953-959 (1983). | Zbl 0534.18009

[14] A. Connes et M. Karoubi. Caractère multiplicatif d'un module de Fredholm. C.R. Acad. Sci. Paris. t. 299, 963-968 (1984). | Zbl 0572.46060

[15] K. Dennis. Conférence Evanston 1976 (non publiée).

[16] R. Douady. Produits tensoriels topologiques et espaces nucléaires. Astérisque 16, Société Mathématique de France (1974). | Zbl 0293.32009

[17] H. Esnault. (à paraître).

[18] A. Grothendieck. Produits tensoriels topologiques. Memoirs of the A.M.S., n°16 (1955).

[19] J. C. Hausmann et D. Husemoller. Acyclic maps. L'enseignement mathématique XXV, 73-75 (1979). | Zbl 0412.55008

[20] G. Hochschild, B. Kostant et A. Rosenberg. Differential forms on regular affine algebras. Trans. Amer. Math. Soc. 102, 383-408 (1962). | Article | Zbl 0102.27701

[21] J. Jones. (à paraître).

[22] D. M. Kan et W. P. Thurston. Every connected spaces has the homology of a K ( π , 1 ) . Topology 15, n° 3, 253-258 (1976). | Article | Zbl 0355.55004

[23] M. Karoubi. Séminaire Cartan-Schwartz 1963/1964, exposé 16, New-York, Benjamin (1967).

[24] M. Karoubi. Foncteurs dérivés et K-théorie. Springer Lecture Notes 136 (1970). | Zbl 0197.19901

[25] M. Karoubi. K-theory. An introduction. Grundlehren 226. Springer-Verlag (1978). | Zbl 0382.55002

[26] M. Karoubi. Théorie de Quillen et homologie du groupe orthogonal. Annals of Math. 112, 205-257 (1980). | Article | Zbl 0478.18008

[27] M. Karoubi. Connexions, courbures et classes caractéristiques en K-théorie algébrique. Canadian Math. Soc. Conference Proccedings, vol. 2, Part I, 19-27 (1982). | Zbl 0553.18006

[28] M. Karoubi. Quatre Notes aux C.R. Acad. Sci. Paris t. 297, 381-384, 447-450, 513-516 et 557-560 (1983).

[29] M. Karoubi. K-théorie multiplicative : deux Notes aux C.R. Acad. Sci. Paris t. 302, 321-324 et t. 303, 507-510 (1986) | Zbl 0593.55004

[30] M. Karoubi. K-théorie multiplicative. Prépublication Université Paris VII (1985). | Zbl 0593.55004

[31] M. Karoubi, Formule de Künneth en homologie cyclique. C.R. Acad. Sc. Paris t. 303 p. 527, 595. | Zbl 0607.55012

[32] M. Karoubi et C. Leruste. Méthodes de géométrie différentielle en topologie algébrique. Publications Université de Paris VII (1982). A paraître en version anglaise dans Cambridge University Press (1987) | Zbl 0524.55001

[33] Ch. Kratzer. λ-structure en K-théorie algébrique. Commentarii Math. Helvetici 55, 233-253 (1980). | Article | Zbl 0444.18008

[34] J. L. Loday. K-théorie algébrique et représentations de groupes. Ann. Sci. Ec. Norm. Super., 309-377 (1976). | Article | Zbl 0362.18014

[35] J. L. Loday. Symboles en K-théorie algébrique supérieure. C.R. Acad. Sci. Paris 292, 863-866 (1981). | Zbl 0493.18006

[36] J. L. Loday et D. Quillen. Cyclic homology and the Lie algebra homology of matrices. Commentarii Math. Helvetici 59, 565-591 (1984). | Article | Zbl 0565.17006

[37] Mac Lane. Homology. Springer-Verlag. Berlin-Heidelberg - New-York (1975). | Zbl 0328.18009

[38] J. P. May. Simplicial objects in algebraic topology. Princeton, New-Jersey, Van Nostrand (1968). | Zbl 0165.26004

[39] J. Milnor. Introduction to algebraic K-theory. Annals of Math. Studies n° 72. Princeton University Press (1974). | Zbl 0237.18005

[40] J. Milnor et J. Stasheff. Lectures on characteristic classes. Ann. of Math. Studies n° 197. Princeton University Press (1974). | Zbl 0298.57008

[41] O. Pekonen. Secondary invariants of flat bundles. C.R. Acad. Sci. Paris t. 304, 13-14 (1987). | Zbl 0608.57018

[42] S. B. Priddy. On Ω S and the infinite symmetric group. Proc. Symp. in Pure Math., Amer. Math. Soc, 217-220 (1971). | Zbl 0242.55011

[43] D. Quillen. Higher algebraic K-theory. Lecture Notes in Math. 341, 85-147 (1973). | Zbl 0292.18004

[44] G. Segal. En préparation.

[45] N. Stennrod. The topology of fibre bundles. Princeton University Press (1951) | Zbl 0942.55002

[46] A. Suslin. On the K-theory of local fields. Journal of Pure and Applied Algebra 34, 301-318 (1984). | Article | Zbl 0548.12009

[47] B. L. Tsygan. Homology of Lie algebras of matrices over rings and Hochschild homologies. Uspehi Mat. Nauk. tom 38, 217-218 (1983). | Zbl 0518.17002

[48] J. B. Wagoner. Delooping classifying spaces in algebraic K-theory. Topology 11, 340-370 (1972). | Article | Zbl 0276.18012

[49] J.H.C. Whitehead. Combinatorial homotopy I. Bull. Amer. Math. Soc. 55, 213-245 (1949). | Article | Zbl 0040.38704