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Journal of the American Mathematical Society
Journal of the American Mathematical Society
ISSN 1088-6834(e) ISSN 0894-0347(p)

     

Cyclic homology and nonsingularity

Author(s): Joachim Cuntz; Daniel Quillen
Journal: J. Amer. Math. Soc. 8 (1995), 373-442.
MSC: Primary 19D55; Secondary 16E40, 18G60
MathSciNet review: 1303030
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References:

[Co1]
A. Connes, Non-commutative differential geometry, Inst. Hautes Études Sci. Publ. Math. 62 (1985), 257-360.

[Co2]
-, Entire cyclic cohomology of Banach algebras and characters of $ \theta $-summable Fredholm modules, $ K$-Theory 1 (1988), 519-548. MR 953915 (90c:46094)

[CC]
A. Connes and J. Cuntz, Quasi-homomorphisms, cohomologie cyclicque et positivité, Comm. Math. Phys. 114 (1988), 515-526. MR 929142 (89h:46098)

[Cu1]
J. Cuntz, Universal extensions and cyclic cohomology, C. R. Acad. Sci. Paris Sér. I Math. 309 (1989), 5-8. MR 1004928 (91a:19002)

[Cu2]
-, Cyclic cohomology and $             K$-homology, Proc. Internat. Congr. Math. (Kyoto, Japan 1990), Springer-Verlag, Berlin and New York, 1991. MR 1159282 (93c:19003)

[CQ1]
J. Cuntz and D. Quillen, Algebra extensions and nonsingularity, J. Amer. Math. Soc. (to appear). MR 1303029 (96c:19002)

[CQ2]
-, Operators on noncommutative differential forms and cyclic homology, Geometry, Topology, and Physics for Raoul Bott, International Press, Cambridge, MA, 1995. MR 1358613 (96j:19004)

[D]
P. Deligne, Harvard lectures, fall 1969.

[F]
B. V. Fedosov, Analytical formulas for the index of an elliptic operator, Trudy Moskov. Mat. Obshch. 30 (1974), 159-241; English transl., Trans. Moscow Math. Soc. 30 (1974), 159-240. MR 0420731 (54:8743)

[G]
T. G. Goodwillie, Cyclic homology and the free loopspace, Topology 24 (1985), 187-215. MR 793184 (87c:18009)

[H]
R. Hartshorne, On the de Rham cohomology of algebraic varieties, Inst. Hautes Études Sci. Publ. Math. 45 (1975), 5-99. MR 0432647 (55:5633)

[HKR]
G. Hochschild, B. Kostant, and A. Rosenberg, Differential forms on regular affine algebras, Trans. Amer. Math. Soc. 102 (1962), 383-408. MR 0142598 (26:167)

[JK]
J. D. S. Jones and C. Kassel, Bivariant cyclic theory, $ K$-Theory 3 (1989), 339-365. MR 1047192 (91f:19001)

[Ka]
M. Karoubi, Homologie cyclique et $             K$-théorie, Astérisque 149 (1987). MR 913964 (89c:18019)

[K1]
C. Kassel, Cyclic homology, comodules, and mixed complexes, J. Algebra 107 (1987), 195-216. MR 883882 (88k:18019)

[K2]
-, Caractére de Chern bivariant, $ K$-Theory 3 (1989), 367-400. MR 1047193 (91f:19002)

[K3]
-, Homologie cyclique, caractére de Chern et lemme de perturbation, J. Reine Angew. Math. 408 (1990), 159-180. MR 1058987 (92d:19002)

[L]
J.-L. Loday, Cyclic homology, Springer-Verlag, Berlin and New York, 1992. MR 1217970 (94a:19004)

[LQ]
J.-L. Loday and D. Quillen, Cyclic homology and the Lie algebra homology of matrices, Comment. Math. Helv. 59 (1984), 565-591. MR 780077 (86i:17003)

[N]
V. Nistor, A bivariant Chern character for $ p$-summable quasihomomorphisms, $ K$-Theory 5 (1991), 193-211. MR 1162440 (93d:19009)

[Q1]
D. Quillen, Algebra cochains and cyclic cohomology, Inst. Hautes Études Sci. Publ. Math. 68 (1989), 139-174. MR 1001452 (90j:18008)

[Q2]
-, Cyclic cohomology and algebra extensions, $ K$-Theory 3 (1989), 205-246. MR 1040400 (91g:19003)

[Q3]
-, Bivariant cyclic cohomology and models for cyclic homology types, J. Pure Appl. Algebra (to appear). MR 1346426 (96h:18015)

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Additional Information:

DOI: 10.1090/S0894-0347-1995-1303030-7
PII: S0894-0347-1995-1303030-7
Copyright of article: Copyright 1995, American Mathematical Society




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