Construction of Spectral Triples Starting from Fredholm Modules
Schrohe, E. ; Walze, M. ; Warzecha, J. -M.
arXiv, 9805063 / Harvested from arXiv
Text on arXiv
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.
Publié le : 1998-05-13
Classification:  Mathematics - Operator Algebras,  Mathematical Physics,  46L87 (Primary), 46L60 (Secondary) 
@article{9805063,
     author = {Schrohe, E. and Walze, M. and Warzecha, J. -M.},
     title = {Construction of Spectral Triples Starting from Fredholm Modules},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9805063}
}

Schrohe, E.; Walze, M.; Warzecha, J. -M. Construction of Spectral Triples Starting from Fredholm Modules. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9805063/