2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/104941We 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 Atiyah-Hirzebruch 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.25 pages. The 1st version omitted the bibliography, included in the 2nd version. This 3rd version corrects some references and attributions in the abstract and introductionK-Theory and HomologyAlgebraic Geometry19E15(Primary), 14C99, 14C25(Secondary)text