Equivariant Ktheory

General Introduction
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Search results
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Online References
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Paper References
Segal: Equivariant Ktheory (1968)
Chriss and Ginzburg: Representation theory and complex geometry. In GeometryVarious folder.
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Definition
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Properties
arXiv:1002.2565 Descent properties of equivariant Ktheory from arXiv Front: math.KT by Christian Serpe We show that equivariant Ktheory 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.
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Standard theorems
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Open Problems
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Connections to Number Theory
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Computations and Examples
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History and Applications
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Some Research Articles
Toen preprint: Notes sure la GthÃ©orie... file Toen web unpubl gtdm.pdf. Dsicusses RR formula for stacks, the rational Gtheory spectrum of DM stacks over general bases, equivariant Kth.
arXiv:1206.0690 Equivariant semitopological Khomology and a theorem of Thomason from arXiv Front: math.KT by Jeremiah Heller, Jens Hornbostel We generalize several comparison results between algebraic, semitopological and topological Ktheories to the equivariant case with respect to a finite group. Moreover, we show that Walker's theorem comparing semitopological and topological Khomology extends to singular varieties.
Title: Gersten Conjecture For Equivariant Ktheory And Applications. Authors: Amalendu Krishna. For a reductive group scheme over a regular semilocal 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 Ktheory of reductive group schemes over a henselian local ring. This is then used to compute the equivariant Ktheory of algebraically closed fields. http://arxiv.org/abs/0906.3933
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