Higher algebraic K-theory of group actions with finite stabilizers
Vezzosi, Gabriele ; Vistoli, Angelo
Duke Math. J., Tome 115 (2002) no. 1, p. 1-55 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We prove a decomposition theorem for the equivariant $K$-theory of actions of affine group schemes $G$ of finite type over a field 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 ${\rm GL}\sb n$-action and finally to a split torus action.
Publié le : 2002-05-15
Classification:  19E08,  14L30 
@article{1087575224,
     author = {Vezzosi, Gabriele and Vistoli, Angelo},
     title = {Higher algebraic K-theory of group actions with finite stabilizers},
     journal = {Duke Math. J.},
     volume = {115},
     number = {1},
     year = {2002},
     pages = { 1-55},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1087575224}
}

Vezzosi, Gabriele; Vistoli, Angelo. Higher algebraic K-theory of group actions with finite stabilizers. Duke Math. J., Tome 115 (2002) no. 1, pp.  1-55. http://gdmltest.u-ga.fr/item/1087575224/