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25 April 2024

» arxiv » 1410.8764

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Equivariant vector bundles, their derived category and $K$-theory on affine schemes
Amalendu Krishna ; Charanya Ravi ;
Date:	31 Oct 2014
Abstract:	Let $G$ be an affine group scheme over a noetherian commutative ring $R$. We show that every $G$-equivariant vector bundle on an affine toric scheme over $R$ with $G$-action is extended from $Spec(R)$ for several cases of $R$ and $G$. We show that given two affine schemes with group scheme actions, an equivalence of the equivariant derived categories implies isomorphism of the equivariant $K$-theories as well as equivariant $K’$-theories.
Source:	arXiv, 1410.8764
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