Article ID Journal Published Year Pages File Type
4588899 Journal of Algebra 2007 23 Pages PDF
Abstract

In this paper, we define in the framework of noncommutative differential forms the notion of cup i-product introduced by Steenrod in [N.E. Steenrod, Product of cocycles and extensions of mappings, Ann. Math. 48 (2) (1947)]. This cup i-product permits to define an operator br,s who will be a generalisation of the operator b defined in Hochschild and cyclic homology. With the operator br,s we define in an explicitly way the Steenrod and Thomas–Pontrjagin squares.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory