Equivariant algebraic K-theory

id: equivariant-algebraic-k-theory-318-14477740
title: Equivariant algebraic K-theory
text: In mathematics, the equivariant algebraic K-theory is an algebraic K-theory associated to the category Coh G ⁡ of equivariant coherent sheaves on an algebraic scheme X with action of a linear algebraic group G, via Quillen's Q-construction; thus, by definition, In particular, K 0 G is the Grothendieck group of Coh G ⁡ . The theory was developed by R. W. Thomason in 1980s. Specifically, he proved equivariant analogs of fundamental theorems such as the localization theorem. Equivalently, K i G may
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original url: https://en.wikipedia.org/wiki/Equivariant_algebraic_K-theory
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date modified: 2023-08-13T07:58:59Z
main entity: {"identifier":"Q17012383","url":"https://www.wikidata.org/entity/Q17012383"}
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