Entire cyclic homology of continuous trace algebras
K-Theory and Homology
2007-05-23 v2 High Energy Physics - Theory
Differential Geometry
Abstract
A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum. More precisely, the entire cyclic homology is shown to be canonically isomorphic to the continuous periodic cyclic homology for these algebras. By an earlier result of the authors, one concludes that the entire cyclic homology of the algebra is canonically isomorphic to the twisted de Rham cohomology of M.
Keywords
Cite
@article{arxiv.math/0412485,
title = {Entire cyclic homology of continuous trace algebras},
author = {Varghese Mathai and Danny Stevenson},
journal= {arXiv preprint arXiv:math/0412485},
year = {2007}
}
Comments
7 pages, Latex2e, minor typos corrected