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Algebraic K-theory of group scheme actions. (English) Zbl 0701.19002
Algebraic topology and algebraic K-theory, Proc. Conf., Princeton, NJ (USA), Ann. Math. Stud. 113, 539-563 (1987).
[For the entire collection see Zbl 0694.00022.]
From the author’s introduction: This paper studies the algebraic K-theory of categories of G-modules on a scheme with an action of an algebraic group G. It contains equivariant analogs of Quillen’s basic results of K- theory of schemes: the localization, projective space bundles, homotopy, and resolution theorems. Proofs of these are by reduction to Quillen’s basic results of the K-theory of exact categories.
Reviewer: C.H.Sah

MSC:
19E08 \(K\)-theory of schemes
19L47 Equivariant \(K\)-theory
55N15 Topological \(K\)-theory
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)