Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500137 | Journal of Geometry and Physics | 2017 | 16 Pages |
Abstract
Kasparov (1988) 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 Câ-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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yanli Song,