A multiplication in cyclic homology

Author:
Kiyoshi Igusa

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

Published electronically:
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 with ``superproduct.'' In the case when 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:
https://doi.org/10.1090/S0002-9947-99-02447-2

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

Article copyright:
© Copyright 1999
American Mathematical Society