A chain morphism for Adams operations on rational algebraic K-theory

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Abstract

For any regular noetherian scheme X and every k ≥ 1, we define a chain morphism Ψk between two chain complexes whose homology with rational coefficients is isomorphic to the algebraic K-groups of X tensored by ℚ. It is shown that the morphisms Ψk induce in homology the Adams operations defined by Gillet and Soulé or the ones defined by Grayson.

Original languageEnglish
JournalJournal of K-Theory
Volume5
Issue number2
Pages (from-to)349-402
Number of pages54
ISSN1865-2433
DOIs
Publication statusPublished - 2010

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