Abstract
We compute the Taylor tower for Hochschild homology as a functor from augmented commutative simplicial ℚ-algebras, to chain complexes over 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.
Original language | English (US) |
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Pages (from-to) | 191-212 |
Number of pages | 22 |
Journal | Homology, Homotopy and Applications |
Volume | 4 |
Issue number | 1 |
DOIs | |
State | Published - 2002 |
Keywords
- Goodwillie calculus
- Hochschild homology
- Hodge decomposition
- Rational algebraic K-theory
ASJC Scopus subject areas
- Mathematics (miscellaneous)