Lambda operations, K theory and motivic cohomology
نویسنده
چکیده
This paper is in two parts: in part one, our main object is to give a construction of natural λ-operations for relative K-theory with supports, satisfying the special λ-ring identities. In the second part, we give an application to the relation of motivic cohomology and algebraic K-theory of a smooth quasi-projective variety over a field. The main idea in the construction of the λ-operations is to re-do the constructions of Hiller [H] and Kratzer [Kr] for the K-theory of a commutative ring, in the setting of the K-theory of an I-diagram of commutative rings, i.e., a functor
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