Geodesic
The Taylor towers for rational algebraic $K$-theory and Hochschild homology
Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 191-212.

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

We compute the Taylor tower for Hochschild homology as a functor from augmented commutative simplicial $\mathbb{Q}$-algebras, to chain complexes over $\mathbb{Q}$. We use this computation to obtain the layers for the Taylor tower of rational algebraic $K$-theory. We also show that the Hodge decomposition for rational Hochschild homology is the decomposition of the Taylor tower of the augmentation ideal functor into its homogeneous layers when evaluated at a suspension.
DOI : 10.4310/HHA.2002.v4.n1.a11
Classification : 13D03, 19D55, 55Uxx
Keywords: Goodwillie calculus, Rational algebraic $K$-theory, Hochschild homology, Hodge decomposition 
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Miriam Ruth Kantorovitz; Randy McCarthy. The Taylor towers for rational algebraic $K$-theory and Hochschild homology. Homology, homotopy, and applications, Tome 4 (2002) no. 1, pp. 191-212. doi : 10.4310/HHA.2002.v4.n1.a11. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2002.v4.n1.a11/

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