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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Cyclic homology for schemes
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by Charles Weibel PDF
Proc. Amer. Math. Soc. 124 (1996), 1655-1662 Request permission

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.
References
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Additional Information
  • Charles Weibel
  • Affiliation: Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08903 USA
  • MR Author ID: 181325
  • Email: weibel@math.rutgers.edu
  • 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 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 1655-1662
  • MSC (1991): Primary 19D55; Secondary 18G60, 14F05
  • DOI: https://doi.org/10.1090/S0002-9939-96-02913-9
  • MathSciNet review: 1277141