Construction of Spectral Triples Starting from Fredholm Modules
Operator Algebras
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Let (A,H,F) be a p-summable Fredholm module where the algebra A= C \Gamma is generated by a discrete group of unitaries in L(H) which is of polynomial growth r. Then we construct a spectral triple (A,H,D) with F= sign D which is q-summable for each q > p+r+1. In case (A,H,F) is (p,\infty)-summable we obtain (q,\infty)-summability of (A,H,D) for each q > p+r+1.
Keywords
Cite
@article{arxiv.math/9805063,
title = {Construction of Spectral Triples Starting from Fredholm Modules},
author = {E. Schrohe and M. Walze and J. -M. Warzecha},
journal= {arXiv preprint arXiv:math/9805063},
year = {2007}
}
Comments
5 pages, LaTeX2e, to be published in Comptes rendues de l'Academie des Sciences de Paris