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Adams Operations for Bivariant K-Theory and a Filtration Using Projective Lines
Authors:Mark E. Walker
Affiliation:(1) Department of Mathematics and Statistics, University of Nebraska–Lincoln, Lincoln, NE, 68588-0323, U.S.A.
Abstract:We establish the existence of Adams operations on the members of a filtration of K-theory which is defined using products of projective lines. We also show that this filtration induces the gamma filtration on the rational K-groups of a smooth variety over a field of characteristic zero.
Keywords:K-theory  Adams operations  gamma filtration  motivic cohomology
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