Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
Séminaire Bourbaki (1983-1984)
- Volume: 26, page 123-146
- ISSN: 0303-1179
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topCartier, Pierre. "Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...." Séminaire Bourbaki 26 (1983-1984): 123-146. <http://eudml.org/doc/110021>.
@article{Cartier1983-1984,
author = {Cartier, Pierre},
journal = {Séminaire Bourbaki},
keywords = {survey; cyclic homology; cyclic cohomology; exact triangle; spectral sequence; cup-product; Chern characters},
language = {fre},
pages = {123-146},
publisher = {Société Mathématique de France},
title = {Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...},
url = {http://eudml.org/doc/110021},
volume = {26},
year = {1983-1984},
}
TY - JOUR
AU - Cartier, Pierre
TI - Homologie cyclique : rapport sur des travaux récents de Connes, Karoubi, Loday, Quillen...
JO - Séminaire Bourbaki
PY - 1983-1984
PB - Société Mathématique de France
VL - 26
SP - 123
EP - 146
LA - fre
KW - survey; cyclic homology; cyclic cohomology; exact triangle; spectral sequence; cup-product; Chern characters
UR - http://eudml.org/doc/110021
ER -
References
top- [1] A. Connes - Feuilletages et algèbres d'opérateurs, Sém. Bourbaki1979-80, exposé n° 551, Springer-Verlag, Lect. Notes in Math.842(1981), 139-155. Zbl0522.46043MR636521
- [2] A. Connes - C*-algèbres et géométrie différentielle, C.R. Acad. Sci. Paris, série A, vol. 290(1980), 599-604. Zbl0433.46057MR572645
- [3] A. Connes - A survey of foliations and operator algebras, Proc. Symp. Pure Math.38(1982), part I, 521-628, Amer. Math. Soc., Providence. Zbl0531.57023MR679730
- [4] A. Connes - Non commutative differential geometry. Chapter I : The Chern character in K-homology ; Chapter II : De Rham homology and non commutative algebra, prépublications I.H.E.S., Bures-sur-Yvette, oct. 1982 et mars 1983.
- [5] A. Connes - Cohomologie cyclique et foncteurs Extn, C.R. Acad. Sci. Paris, série I, vol. 296(1983), 953-958. Zbl0534.18009MR777584
- [6] A. Connes - Cyclic cohomology and the transverse fundamental class of a foliation, prépublication I.H.E.S., Bures-sur-Yvette, déc. 1983.
- [7] A. Connes and G. Skandalis - The longitudinal index theorem for foliations, prépublication I.H.E.S., Bures-sur-Yvette, 1982.
- [8] P. Baum and A. Connes - Geometric K-theory for Lie groups and foliations, prépublication I.H.E.S., Bures-sur-Yvette, nov. 1982.
- [9] P. Baum and A. Connes - Leafwise homotopy equivalence and rational Pontrjagin classes, prépublication I.H.E.S., Bures-sur-Yvette, sept. 1983.
- [10] M. Atiyah - K-theory, Benjamin, New York, 1967. MR224083
- [11] M. Atiyah - Power operations in K-theory, Quart. J. Math. Oxford (2) 17(1966), 165-193 (reproduit comme appendice dans [10]). Zbl0144.44901MR202130
- [12] H. Bass - Algebraic K-theory, Benjamin, New York, 1968. Zbl0174.30302MR249491
- [13] R. Bott - Lectures on K(X), Benjamin, New York, 1969. Zbl0194.23904MR258020
- [14] M. Karoubi - K-theory, an introduction, Springer-Verlag, 1978. Zbl0382.55002MR488029
- [15] J. Milnor - Introduction to algebraic K-theory, Ann. Math. Studies72, Princeton Univ. Press, Princeton, 1971. Zbl0237.18005MR349811
- [16] D. Quillen - Higher algebraic K-theory, Springer-Verlag, Lect. Notes in Math.341 (1973), 85-147. Zbl0292.18004MR338129
- [17] R. Wood - Banach algebras and Bott periodicity, Topology4(1966), 371-389. Zbl0163.36702MR185598
- [18] M. Karoubi - Homologie cyclique des groupes et des algèbres, C.R. Acad. Sci. Paris, série I, vol. 297(1983), 381-384. Zbl0528.18008MR732839
- [19] M. Karoubi - Homologie cyclique et K-théorie algébrique, I et II , C.R. Acad. Sci. Paris, série I, vol. 297(1983), 447-450 et 513-516. Zbl0528.18010MR736240
- [20] M. Karoubi - Homologie cyclique et régulateurs en K-théorie algébrique, C.R. Acad. Sci. Paris, série I, vol. 297(1983), 557-560. Zbl0532.18009MR735692
- [21] M. Karoubi - Connexions, courbures et classes caractéristiques en K-théorie algébrique, Canadian Math. Soc. Proc. , vol. 2, part I(1982), 19-27. Zbl0553.18006MR686108
- [22] J.L. Loday and D. Quillen - Cyclic homology and the Lie algebra of matrices, à paraître (voir aussi C.R. Acad. Sci. Paris, série I, vol. 296(1983), 295-297). Zbl0536.17006MR695381
- [23] B.L. Tsigan - Homology of matrix Lie algebras over rings and Hochschild homology, Uspekhi Math. Nauk vol. 38(1983), 217-218. Zbl0518.17002MR695483
- [24] S. Bloch - The dilogarithm and extensions of Lie algebras, in Algebraic K-theory, Evanston1980, Springer-Verlag, Lect. Notes in Math.854(1981), 1-23. Zbl0469.14009MR618298
- [25] H. Garland - The arithmetic theory of loop groups, Publ. Math. I.H.E.S.52(1980), 5-136. Zbl0475.17004MR601519
- [26] C. Kassel - Calcul algébrique de l'homologie de certains groupes de matrices, J. Alg.80(1983), 235-260. Zbl0511.18014MR690716
- [27] C. Kassel - Kähler differentials and coverings of complex simple Lie algebras extended over a commutative algebra, à paraître. Zbl0549.17009
- [28] C. Kassel et J.-L. Loday - Extensions centrales d'algèbres de Lie, Ann. Inst. Fourier32(1982), 119-142. Zbl0485.17006MR694130
- [29] D. Burghelea - Cyclic homology and the K-theory of spaces I, à paraître.
- [30] W.G. Dwyer, W.C. Hsiang and R.E. Staffeldt- Pseudo-isotopy and invariant theory I, Topology19(1980), 367-385. Zbl0468.57018MR584561
- [31 W.C. Hsiang and R.E. Staffeldt- A model for computing rational algebraic K-theory of simply connected spaces, Invent. Math.68(1982), 227-239. Zbl0505.57011MR666160
- [32] R.E. Staffeldt- Rational algebraic K-theory of topological spaces and cyclic homology, à paraître.
- [33] F. Waldhausen - Algebraic K-theory of topological spaces I, Proc. Symp. Pure Math.32(1978), 35-60. Zbl0414.18010MR520492
- [34] A.A. Beilinson - Higher regulators and values of L-functions (en russe), traduction anglaise à paraître. Zbl0588.14013
- [35] S. Bloch and D. Ramakrishnan - Heisenberg group bundles and the regulator map for curves, à paraître.
- [36] P. Deligne - Le symbole modéré, note manuscrite du 25/07/79.
- [37] J.L. Dupont and C.H. Sah - Scissor congruences II, J. Pure Appl. Algebra25(1982), 159-195. Zbl0496.52004MR662760
- [38] H. Gillet - Riemann-Roch theorems for higher algebraic K-theory, Adv. in Math.40(1981), 203-289. Zbl0478.14010MR624666
- [39] J.W. Milnor - Hyperbolic geometry : the first 150 years, Bull. Amer. Math. Soc.6(1982), 9-24. Zbl0486.01006MR634431
- [40] J.W. Milnor - On polylogarithms, Hurwitz zeta functions and the Kubert identities, Ens. Math.29(1983), 281-322. Zbl0557.10031MR719313
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