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

Elisenda Feliu

doi:10.1017/is009010016jkt085

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

Elisenda Feliu

Institut for Matematiske Fag

1 Citationer (Scopus)

Abstract

For any regular noetherian scheme X and every k ≥ 1, we define a chain morphism Ψ^k 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 Ψ^k induce in homology the Adams operations defined by Gillet and Soulé or the ones defined by Grayson.

Originalsprog	Engelsk
Tidsskrift	Journal of K-Theory
Vol/bind	5
Udgave nummer	2
Sider (fra-til)	349-402
Antal sider	54
ISSN	1865-2433
DOI	https://doi.org/10.1017/is009010016jkt085
Status	Udgivet - 2010

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10.1017/is009010016jkt085

http://journals.cambridge.org/action/displayAbstract?fromPage=online&aid=6603768&fulltextType=RA&fileId=S1865243309999780

Citationsformater

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AB - 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.

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

Abstract

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