We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G of finite type over afield on regular separated Noetherian algebraic spaces, under the hypothesis that the actions have finite geometric stabilizers and satisfy a rationality, condition together with a technical condition that holds, for example, for G abelian or smooth. We reduce the problem to the case of a GL(n)-action and finally to a split torus action.
Higher algebraic K-theory of group actions with finite stabilizers
VISTOLI, ANGELO
2002
Abstract
We prove a decomposition theorem for the equivariant K-theory of actions of affine group schemes G of finite type over afield on regular separated Noetherian algebraic spaces, under the hypothesis that the actions have finite geometric stabilizers and satisfy a rationality, condition together with a technical condition that holds, for example, for G abelian or smooth. We reduce the problem to the case of a GL(n)-action and finally to a split torus action.File in questo prodotto:
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