On the Steenrod operations in cyclic cohomology (Q1774380)

Summary: For a commutative Hopf algebra \(A\) over \(\mathbb{Z} /p\), where \(p\) is a prime integer, we define the Steenrod operations \(P^i\) in cyclic cohomology of \(A\) using a tensor product of a free resolution of the symmetric group \(S_n\) and the standard resolution of the algebra \(A\) over the cyclic category according to \textit{J. L. Loday} [Cyclic homology. (Grundlehren der Mathematischen Wissenschaften. 301, Springer) (1992; Zbl 0780.18009)]. We also compute some of these operations.