ar X iv : m at h / 05 11 39 4 v 3 [ m at h . K T ] 1 9 N ov 2 00 5 ON A SPECTRAL SEQUENCE FOR EQUIVARIANT K - THEORY
نویسنده
چکیده
We apply the machinery developed by the first-named author to the K-theory of coherent G-sheaves on a finite type G-scheme X over a field, where G is a finite group. This leads to a definition of G-equivariant higher Chow groups (different from the Chow groups of classifying spaces constructed by Totaro and generalized to arbitrary X by Edidin-Graham) and an AtiyahHirzebruch spectral sequence from the G-equivariant higher Chow groups to the higher K-theory of coherent G-sheaves on X. This spectral sequence generalizes the spectral sequence from motivic cohomology to K-theory constructed by Bloch-Lichtenbaum and Friedlander-Suslin.
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