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

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

2008-08-28

arxiv.org/abs/0808.3882v2

Mathematics

K-Theory and Homology

40 pages

Scientific paper

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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