An equivariant orbifold index for proper actions
نویسندگان
چکیده
منابع مشابه
Equivariant K-theory, Groupoids and Proper Actions
In this paper we define complex 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. A suitable groupoid allows us to define complex equivariant K-theory for proper actions of non-compact Lie groups, which is a natural extension of the theory defined in [24]. For the particul...
متن کاملAn equivariant index formula for elliptic actions on contact manifolds
Given an elliptic action of a compact Lie group G on a co-oriented contact manifold (M, E) one obtains two naturally associated objects: A G-transversally elliptic operator Db / , and an equivariant differential form with generalised coefficients J (E, X) defined in terms of a choice of contact form on M . We explain how the form J (E, X) is natural with respect to the contact structure, and gi...
متن کاملTwisted Equivariant K-theory for Proper actions of Discrete Groups
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].
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 کاملTwisted 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 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: Journal of Geometry and Physics
سال: 2020
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2020.103710