$L^2$-index formula for proper cocompact group actions
Algebraic Topology
2012-06-12 v4 Differential Geometry
K-Theory and Homology
Operator Algebras
Abstract
We study the index of the -invariant elliptic pseudo-differential operator acting on a complete Riemannian manifold, where a unimodular, locally compact group acts properly and cocompactly. An -index formula was obtained using the heat kernel method.
Cite
@article{arxiv.1106.4542,
title = {$L^2$-index formula for proper cocompact group actions},
author = {Hang Wang},
journal= {arXiv preprint arXiv:1106.4542},
year = {2012}
}
Comments
This is the final version (34 pages)