Twisted Equivariant K-theory for Proper actions of Discrete Groups
نویسنده
چکیده
We will make a construction of twisted equivairant K-theory for proper actions of discrete groups by using ideas of Lück and Oliver [16] to expand a construction of Adem and Ruan [1].
منابع مشابه
Twisted Equivariant K-theory, Groupoids and Proper Actions
In this paper we define twisted equivariantK-theory for actions of Lie groupoids. For a Bredon-compatible Lie groupoid G, this defines a periodic cohomology theory on the category of finite G-CW-complexes with G-stable projective bundles. A classification of these bundles is shown. We also obtain a completion theorem and apply these results to proper actions of groups.
متن کاملA Geometric Description of Equivariant K-Homology for Proper Actions
LetG be a discrete group and letX be aG-finite, properG-CW-complex. We prove that Kasparov’s equivariant K-homology groups KK∗ (C0(X),C) are isomorphic to the geometric equivariant K-homology groups of X that are obtained by making the geometric K-homology theory of Baum and Douglas equivariant in the natural way. This reconciles the original and current formulations of the Baum-Connes conjectu...
متن کاملChern characters for equivariant K-theory of proper G-CW-complexes
In an earlier paper [10], we showed that for any discrete group G, equivariant K-theory for finite proper G-CW-complexes can be defined using equivariant vector bundles. This was then used to prove a version of the Atiyah-Segal completion theorem in this situation. In this paper, we continue to restrict attention to actions of discrete groups, and begin by constructing an appropriate classifyin...
متن کاملK-twisted Equivariant K-theory for Su(n)
We present a version of twisted equivariant K-theory-K-twisted equivariant K-theory, and use Grothendieck differentials to compute the K -twisted equivariant K-theory of simple simply connected Lie groups. We did the calculation explicitly for SU(N) explicitly. The basic idea is to interpret an equivariant gerbe as an element of equivariant K-theory of degree 1.
متن کاملThe Burnside Ring and Equivariant Stable Cohomotopy for Infinite Groups
After we have given a survey on the Burnside ring of a finite group, we discuss and analyze various extensions of this notion to infinite (discrete) groups. The first three are the finite-G-set-version, the inverselimit-version and the covariant Burnside group. The most sophisticated one is the fourth definition as the zero-th equivariant stable cohomotopy of the classifying space for proper ac...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2007