On a spectral sequence for equivariant K-theory
نویسندگان
چکیده
منابع مشابه
1 6 N ov 2 00 5 ON A SPECTRAL SEQUENCE FOR EQUIVARIANT K - THEORY
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 version constructed by Totaro) and an AtiyahHirzebruch spectral sequence from the G-equivariant higher Chow groups to the higher K-theory of coheren...
متن کاملSpectral Mackey Functors and Equivariant Algebraic K - Theory ( Ii )
We study the “higher algebra” of spectral Mackey functors, which the first named author introduced in Part I of this paper. In particular, armed with our new theory of symmetric promonoidal ∞-categories and a suitable generalization of the second named author’s Day convolution, we endow the∞-category of Mackey functors with a wellbehaved symmetric monoidal structure. This makes it possible to s...
متن کاملEquivariant K-theory
Topological K-theory [2] has many variants which have been developed and exploited for geometric purposes. There are real or quaternionic versions, “Real” K-theory in the sense of [1], equivariant K-theory [14] and combinations of all these. In recent years K-theory has found unexpected application in the physics of string theories [6, 12, 13, 16] and all variants of K-theory that had previousl...
متن کاملEquivariant Representable K-theory
We interpret certain equivariant Kasparov groups as equivariant representable K-theory groups. We compute these groups via a classifying space and as K-theory groups of suitable σ-C-algebras. We also relate equivariant vector bundles to these σ-C-algebras and provide sufficient conditions for equivariant vector bundles to generate representable K-theory. Mostly we work in the generality of loca...
متن کاملThe Equivariant Serre Spectral Sequence
For spaces with a group action, we introduce Bredon cohomology with local (or twisted) coefficients and show that it is invariant under weak equivariant homotopy equivalence. We use this new cohomology to construct a Serre spectral sequence for equivariant fibrations. Bredon [1] introduced what is now called Bredon cohomology, with the purpose of developing obstruction theory in the context of ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: K-Theory
سال: 2008
ISSN: 1573-0514,0920-3036
DOI: 10.1007/s10977-007-9018-x