The Taylor towers for rational algebraic K-theory and Hochschild homology

Miriam Ruth Kantorovitz, Randy McCarthy

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)191-212
Number of pages22
JournalHomology, Homotopy and Applications
Issue number1
StatePublished - 2002


  • Goodwillie calculus
  • Hochschild homology
  • Hodge decomposition
  • Rational algebraic K-theory

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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