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arXiv · 1509.05147

Algebraic K-theory of quotient stacks

Amalendu Krishna·Charanya Ravi
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Abstract

We prove some fundamental results like localization, excision, Nisnevich descent and the Mayer-Vietoris property for equivariant regular blow-up for the equivariant K-theory of schemes with an affine group scheme action. We also show that the equivariant K-theory with finite coefficients is invariant under equivariant vector bundle morphisms. We show that the equivariant homotopy K-theory is invariant under equivariant vector bundle morphisms and satisfies all the above properties, including nil-invariance.

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Amalendu Krishna, Charanya Ravi. 2015-09-17. Algebraic K-theory of quotient stacks. https://arxiv.org/abs/1509.05147

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