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arXiv · 0808.3882

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

Elisenda Feliu
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Abstract

For any regular noetherian scheme X and every k>0, we define a chain morphism between two chain complexes whose homology with rational coefficients is isomorphic to the algebraic K-groups of X tensored by the field of rational numbers. It is shown that these morphisms induce in homology the Adams operations defined by Gillet and Soule or the ones defined by Grayson.

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Elisenda Feliu. 2009-04-02. A chain morphism for Adams operations on rational algebraic K-theory. https://arxiv.org/abs/0808.3882

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