منابع مشابه
Adams Operations on Higher Arithmetic K-theory
We construct Adams operations on the rational higher arithmetic K-groups of a proper arithmetic variety. The definition applies to the higher arithmetic K-groups given by Takeda as well as to the groups suggested by Deligne and Soulé, by means of the homotopy groups of the homotopy fiber of the regulator map. They are compatible with the Adams operations on algebraic K-theory. The definition re...
متن کاملAdams Operations on Higher K - Theory 3
We construct Adams operations on higher algebraic K-groups induced by operations such as symmetric powers on any suitable exact category, by constructing an explicit map of spaces, combinatorially deened. The map uses the S-construction of Waldhausen, and deloops (once) earlier constructions of the map.
متن کاملAdams Operations on Higher K-theory
We construct Adams operations on higher algebraic K-groups induced by operations such as symmetric powers on any suitable exact category, by constructing an explicit map of spaces, combinatorially defined. The map uses the S-construction of Waldhausen, and deloops (once) earlier constructions of the map.
متن کاملA Chain Morphism for Adams Operations on Rational Algebraic K-theory
For any regular noetherian scheme X and every k ≥ 1, we define a chain morphism Ψ 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 Ψ induce in homology the Adams operations defined by Gillet and Soulé or the ones defined by Grayson. Introduction Let X be any scheme and let P(X) be the...
متن کاملInfinite Sums of Adams Operations and Cobordism
In recent work, various algebras of stable degree zero operations in p-local K-theory were described explicitly [5]. The elements are certain infinite sums of Adams operations. Here we show how to make sense of the same expressions for MU(p) and BP , thus identifying the “Adams subalgebra” of the algebras of operations. We prove that the Adams subalgebra is the centre of the ring of degree zero...
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ژورنال
عنوان ژورنال: K-Theory
سال: 1992
ISSN: 1573-0514,0920-3036
DOI: 10.1007/bf01771009