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chain complex of cubes

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A chain morphism for Adams operations on rational algebraic K-theory
Elisenda Feliu
Journal:

Journal of K-Theory / Volume 5 / Issue 2 / April 2010

Published online by Cambridge University Press:

13 November 2009, pp. 349-402

Print publication:

April 2010
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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.