A K-homological approach to the quantization commutes with reduction problem
Symplectic Geometry
2014-10-10 v2 Differential Geometry
Abstract
Kasparov defined a distinguished K-homology fundamental class, so called the Dirac element. We prove a localization formula for the Dirac element in K-homology of crossed product of C^{*}-algebras. Then we define the quantization of Hamiltonian G-spaces as a push-forward of the Dirac element. With this, we develop a K-homological approach to the quantization commutes with reduction theorem.
Keywords
Cite
@article{arxiv.1404.4840,
title = {A K-homological approach to the quantization commutes with reduction problem},
author = {Yanli Song},
journal= {arXiv preprint arXiv:1404.4840},
year = {2014}
}
Comments
Corrections made, title changed