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Cyclic homology for schemes

Author(s): Charles Weibel
Journal: Proc. Amer. Math. Soc. 124 (1996), 1655-1662.
MSC (1991): Primary 19D55; Secondary 18G60, 14F05
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Abstract: Using hypercohomology, we can extend cyclic homology from algebras to all schemes over a ring $k$. By `extend' we mean that the usual cyclic homology of any commutative algebra agrees with the cyclic homology of its corresponding affine scheme.

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Additional Information:

Charles Weibel
Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 USA
Email: weibel@math.rutgers.edu

DOI: 10.1090/S0002-9939-96-02913-9
PII: S 0002-9939(96)02913-9
Keywords: Cyclic homology, schemes, hypercohomology
Received by editor(s): April 25, 1994
Received by editor(s) in revised form: November 21, 1994
Additional Notes: The author was partially supported by NSF grants and is grateful to the Mittag-Leffler Institute for providing the environment needed to finish this research.
Communicated by: Eric Friedlander
Copyright of article: Copyright 1996, American Mathematical Society

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