On a generalized Connes-Hochschild-Kostant-Rosenberg theorem
K-Theory and Homology
2007-05-23 v2 High Energy Physics - Theory
Differential Geometry
Abstract
The central result here is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as their spectrum. More precisely, the Hochschild homology is identified with the space of differential forms on X, and the periodic cyclic homology with the twisted de Rham cohomology of X, thereby generalizing some fundamental results of Connes and Hochschild-Kostant-Rosenberg. The Connes-Chern character is also identified here with the twisted Chern character.
Cite
@article{arxiv.math/0404329,
title = {On a generalized Connes-Hochschild-Kostant-Rosenberg theorem},
author = {Varghese Mathai and Danny Stevenson},
journal= {arXiv preprint arXiv:math/0404329},
year = {2007}
}
Comments
35 pages, latex2e, uses xypic. To appear in, Advances in Mathematics