Geodesic
Steenrod operations on the negative cyclic homology of the shc-cochain algebras
Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 315-348.

Voir la notice de l'article provenant de la source International Press of Boston

In this paper we prove that the Steenrod operations act naturally on the negative cyclic homology of a differential graded algebra $A$ over the prime field $\mathbb{F}_p$ satisfying some extra conditions. When $A$ denotes the singular cochains with coefficients in $\mathbb{F}_p$ 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 coefficients in $\mathbb{F}_p$. We conclude by performing some calculations on the negative cyclic homology.
DOI : 10.4310/HHA.2009.v11.n1.a13
Classification : 13D03, 54C35, 55S20, 57T30
Keywords: Hochschild homology, negative cyclic homology, bar and cobar construction, shc-algebra 
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     author = {Calvin Tcheka},
     title = {Steenrod operations on the negative cyclic homology of the shc-cochain algebras},
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     pages = {315--348},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n1.a13/}
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Calvin Tcheka. Steenrod operations on the negative cyclic homology of the shc-cochain algebras. Homology, homotopy, and applications, Tome 11 (2009) no. 1, pp. 315-348. doi : 10.4310/HHA.2009.v11.n1.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2009.v11.n1.a13/

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