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

Published online by Cambridge University Press:  13 November 2009

Elisenda Feliu
Elisenda Feliu
Affiliation:
Gran Via de les Corts Catalanes, 585, 08007 Barcelona, Spain, efeliu@ub.edu
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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.

Keywords

Adams operationshigher algebraic K-theorychain complex of cubestransgression bundle
Type
Research Article
Information
Journal of K-Theory , Volume 5 , Issue 2 , April 2010 , pp. 349 - 402
Copyright
Copyright © ISOPP 2009

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