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KT (K-theory)
Segal: Equivariant K-theory (1968)
Chriss and Ginzburg: Representation theory and complex geometry. In Geometry-Various folder.
arXiv:1002.2565 Descent properties of equivariant K-theory from arXiv Front: math.KT by Christian Serpe We show that equivariant K-theory satisfies descent with respect to the isovariant Nisnevich topology. The main step is to show that the isovariant Nisnevich topology is a regular, complete and bounded cd topology.
Toen preprint: Notes sure la G-theorie… file Toen web unpubl gtdm.pdf. Dsicusses RR formula for stacks, the rational G-theory spectrum of DM stacks over general bases, equivariant K-th.
arXiv:1206.0690 Equivariant semi-topological K-homology and a theorem of Thomason from arXiv Front: math.KT by Jeremiah Heller, Jens Hornbostel We generalize several comparison results between algebraic, semi-topological and topological K-theories to the equivariant case with respect to a finite group. Moreover, we show that Walker’s theorem comparing semi-topological and topological K-homology extends to singular varieties.
Title: Gersten Conjecture For Equivariant K-theory And Applications. Authors: Amalendu Krishna. For a reductive group scheme over a regular semi-local ring, we prove an equivarinat version of the Gersten conjecture. We draw some interesting consequences for the representation rings of such reductive group schemes. We also prove the rigidity for the equivariant K-theory of reductive group schemes over a henselian local ring. This is then used to compute the equivariant K-theory of algebraically closed fields. http://arxiv.org/abs/0906.3933
nLab page on Equivariant K-theory