Algebra cochains and cyclic cohomology

Daniel Quillen

Publications Mathématiques de l'IHÉS (1988)

  • Volume: 68, page 139-174
  • ISSN: 0073-8301

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Quillen, Daniel. "Algebra cochains and cyclic cohomology." Publications Mathématiques de l'IHÉS 68 (1988): 139-174. <http://eudml.org/doc/104035>.

@article{Quillen1988,
author = {Quillen, Daniel},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {K-theory; Chern character; algebra of endomorphisms of a vector bundle; augmented algebra; bar construction; differential graded coalgebra; bicomodule of coderivations; cocommutator subspace; periodic double complex; cyclic complex; Hochschild homology; Connes' odd cyclic classes; Chern-Simons classes; S-operations; cyclic cohomology},
language = {eng},
pages = {139-174},
publisher = {Institut des Hautes Études Scientifiques},
title = {Algebra cochains and cyclic cohomology},
url = {http://eudml.org/doc/104035},
volume = {68},
year = {1988},
}

TY - JOUR
AU - Quillen, Daniel
TI - Algebra cochains and cyclic cohomology
JO - Publications Mathématiques de l'IHÉS
PY - 1988
PB - Institut des Hautes Études Scientifiques
VL - 68
SP - 139
EP - 174
LA - eng
KW - K-theory; Chern character; algebra of endomorphisms of a vector bundle; augmented algebra; bar construction; differential graded coalgebra; bicomodule of coderivations; cocommutator subspace; periodic double complex; cyclic complex; Hochschild homology; Connes' odd cyclic classes; Chern-Simons classes; S-operations; cyclic cohomology
UR - http://eudml.org/doc/104035
ER -

References

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  1. [C1] A. CONNES, Non-commutative differential geometry, Publ. Math. I.H.E.S., 62 (1985), 41-144. Zbl0592.46056MR87i:58162
  2. [C2] A. CONNES, Entire cyclic cohomology of Banach algebras and characters of θ-summable Fredholm modules, K-Theory, 1 (1988), 519-548. Zbl0657.46049MR90c:46094
  3. [CM] A. CONNES and H. MOSCOVICI, Cyclic cohomology, the Novikov conjecture and hyperbolic groups, Topology, to appear. Zbl0759.58047
  4. [G] E. GETZLER, Pseudodifferential operators on supermanifolds and the Atiyah-Singer index theorem, Commun. Math. Phys., 92 (1983), 163-178. Zbl0543.58026MR86a:58104
  5. [GS] E. GETZLER and A. SZENES, On the Chern character of a theta-summable Fredholm module, J. Funct. Anal., to appear. Zbl0686.46044
  6. [JLO] A. JAFFE, A. LESNIEWSKI and K. OSTERWALDER, Quantum K-theory, I. The Chern character, Commun. Math. Phys., 118 (1988), 1-14. Zbl0656.58048MR90a:58170
  7. [K] C. KASSEL, L'homologie cyclique des algèbres enveloppantes, Invent. Math., 91 (1988), 221-251. Zbl0653.17007MR89e:17015
  8. [LQ] J.-L. LODAY and D. QUILLEN, Cyclic homology and the Lie algebra homology of matrices, Comment. Math. Helvetici, 59 (1984), 565-591. Zbl0565.17006MR86i:17003
  9. [Q1] D. QUILLEN, Superconnection character forms and the Cayley transform, Topology, 27 (1988), 211-238. Zbl0671.57013MR89j:58134
  10. [Q2] D. QUILLEN, Cyclic cohomology and extensions of algebras, K-Theory, to appear. Zbl0696.16021
  11. [T] B. L. TSYGAN, Homology of matrix algebras over rings and Hochschild homology, Uspehi Mat. Nauk, 38 :2 (1983), 217-218; Russian Math. Surveys, 38 (1983), 198-199. Zbl0526.17006MR85i:17014

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