CUP PRODUCTS IN HOPF CYCLIC COHOMOLOGY VIA CYCLIC MODULES

被引：11

作者：

Rangipour, Bahram ^{[1
]}

机构：

[1] Univ New Brunswick, Dept Math & Stat, Fredericton, NB E3B 5A3, Canada

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2008年 / 10卷 / 02期

关键词：

cup product; Hopf cyclic cohomology;

D O I：

10.4310/HHA.2008.v10.n2.a14

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We redefine the cup products in Hopf cyclic cohomology. These cup products were first defined by the author and M. Khalkhali via a relatively complicated method as a generalization of Connes' cup product for cyclic cohomology of algebras. In this paper we use the generalized Eilenberg-Zilber theorem and define the cup product using a bicocyclic module naturally associated to the cocyclic modules of the coalgebras and the algebras in question. In the last part of the paper we derive some formulas for the cup products.

引用

页码：273 / 286

页数：14

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