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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(e) ISSN 0002-9947(p)

     

A multiplication in cyclic homology

Author(s): Kiyoshi Igusa
Journal: Trans. Amer. Math. Soc. 352 (2000), 209-242.
MSC (1991): Primary 18G60; Secondary 16W30
Posted: September 8, 1999
MathSciNet review: 1650093
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Abstract | References | Similar articles | Additional information

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

DOI: 10.1090/S0002-9947-99-02447-2
PII: S 0002-9947(99)02447-2
Received by editor(s): April 14, 1994
Posted: September 8, 1999
Additional Notes: This research was supported by NSF grant no. DMS 90 02512
Copyright of article: Copyright 1999, American Mathematical Society




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