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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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A multiplication in cyclic homology
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by Kiyoshi Igusa PDF
Trans. Amer. Math. Soc. 352 (2000), 209-242 Request permission

Abstract:

We define a multiplication on the cyclic homology of a commutative, cocommutative bialgebra $H$ with “superproduct.” In the case when $H$ is a field of characteristic zero the cyclic homology becomes a polynomial algebra in one generator. (The Loday-Quillen multiplication is trivial in that case.)
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Additional Information
  • Kiyoshi Igusa
  • Affiliation: Department of Mathematics, Brandeis University, Waltham, Massachusetts 02254-9110
  • MR Author ID: 90790
  • ORCID: 0000-0003-2780-0924
  • Received by editor(s): April 14, 1994
  • Published electronically: September 8, 1999
  • Additional Notes: This research was supported by NSF grant no. DMS 90 02512
  • © Copyright 1999 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 209-242
  • MSC (1991): Primary 18G60; Secondary 16W30
  • DOI: https://doi.org/10.1090/S0002-9947-99-02447-2
  • MathSciNet review: 1650093