Geodesic
Homology operations in symmetric homology
Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 239-261.

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

The symmetric homology of a unital associative algebra $A$ over a commutative ground ring $k$, denoted $HS_*(A)$, is defined using derived functors and the symmetric bar construction of Fiedorowicz. In this paper we show that $HS_*(A)$ admits homology operations and a Pontryagin product structure making $HS_*(A)$ an associative commutative graded algebra. This is done by finding an explicit $E_{\infty}$ structure on the standard chain groups that compute symmetric homology.
DOI : 10.4310/HHA.2014.v16.n2.a13
Classification : 13D03, 55N35
Keywords: symmetric homology, cyclic homology, homology operation, $E_{\infty}$ algebra 
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     author = {Shaun V. Ault},
     title = {Homology operations in symmetric homology},
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     pages = {239--261},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a13/}
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Shaun V. Ault. Homology operations in symmetric homology. Homology, homotopy, and applications, Tome 16 (2014) no. 2, pp. 239-261. doi : 10.4310/HHA.2014.v16.n2.a13. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2014.v16.n2.a13/

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