Characters of Fredholm modules and a problem of Connes
K-Theory and Homology
2007-05-23 v1 Operator Algebras
Abstract
It is shown that Connes' character formula for unbounded, theta-summable Fredholm modules represents the abstract Chern-character in K-homology. As an application, the character of a particular Fredholm module over the reduced group C*-algebra of a discrete group is calculated, which leads to a partial solution of a problem posed by A.Connes.
Cite
@article{arxiv.math/0604528,
title = {Characters of Fredholm modules and a problem of Connes},
author = {Michael Puschnigg},
journal= {arXiv preprint arXiv:math/0604528},
year = {2007}
}
Comments
51 pages