منابع مشابه
Algebraic Cycles and Completions of Equivariant K-theory
Let G be a complex, linear algebraic group acting on an algebraic space X . The purpose of this paper is to prove a Riemann-Roch theorem (Theorem 5.5) which gives a description of the completion of the equivariant Grothendieck group G0(G,X)⊗ C at any maximal ideal of the representation ring R(G) ⊗ C in terms of equivariant cycles. The main new technique for proving this theorem is our non-abeli...
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We show how methods from K-theory of operator algebras can be applied in a completely algebraic setting to define a bivariant, M∞-stable, homotopy-invariant, excisive Ktheory of algebras over a fixed unital ground ring H, (A, B) 7→ kk∗(A, B), which is universal in the sense that it maps uniquely to any other such theory. It turns out kk is related to C. Weibel’s homotopy algebraic K-theory, KH....
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1979
ISSN: 0021-8693
DOI: 10.1016/0021-8693(79)90309-0