Steenrod operations on the negative cyclic homology of the shc cochain algebras
In this paper we prove that the Steenrod operations act naturally on the negative cyclic homology of a dierential graded algebra A over the prime field Fp satisfying some extra conditions. When A denotes the singular cochains with coecients in Fp of a 1 connected space X, these extra conditions are satisfied. The Jones isomorphism identifies these Steenrod operations with the usual ones on the S 1 equivariant cohomology of the free loop space on X with coecients in Fp. We conclude by performing some calculations on the negative cyclic homology.