On the Steenrod operations in cyclic cohomology

Abstract

For a commutative Hopf algebra A over ℤ/p, where p is a prime integer, we define the Steenrod operations pi in cyclic cohomology of A using a tensor product of a free resolution of the symmetric group Sn and the standard resolution of the algebra A over the cyclic category according to Loday (1992). We also compute some of these operations.