Open Access
2002 The Taylor towers for rational algebraic $K$-theory and Hochschild homology
Miriam Ruth Kantorovitz, Randy McCarthy
Homology Homotopy Appl. 4(1): 191-212 (2002).

Abstract

We compute the Taylor tower for Hochschild homology as a functor from augmented commutative simplicial $\dbQ$-algebras, to chain complexes over $\dbQ$. 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.

Citation

Download Citation

Miriam Ruth Kantorovitz. Randy McCarthy. "The Taylor towers for rational algebraic $K$-theory and Hochschild homology." Homology Homotopy Appl. 4 (1) 191 - 212, 2002.

Information

Published: 2002
First available in Project Euclid: 13 February 2006

MathSciNet: MR1983016
zbMATH: 06826201

Subjects:
Primary: 19D55
Secondary: 16D40 , 55U35

Rights: Copyright © 2002 International Press of Boston

Vol.4 • No. 1 • 2002
Back to Top