Entire cyclic homology of Schatten ideals
K-Theory and Homology
2007-05-23 v2
Abstract
Certain cocycles constructed by Connes are characters of -summable Fredholm modules. In this article, we establish some consequences of the universal properties which these characters enjoy. Our main technical result is that the entire cyclic cohomology of the p-th Schatten ideal L^p (respectively, homology) is independent of p and isomorphic to the entire cyclic cohomology (respectively, homology) of the ideal of trace class operators L^1.
Keywords
Cite
@article{arxiv.math/0409164,
title = {Entire cyclic homology of Schatten ideals},
author = {J. Brodzki and R. J. Plymen},
journal= {arXiv preprint arXiv:math/0409164},
year = {2007}
}
Comments
17 pages, revised introduction and last section