Construction of Spectral Triples Starting from Fredholm Modules

Details Construction of Spectral Triples Starting from Fredholm Modules Construction of Spectral Triples Starting from Fredholm Modules

1998-05-13

arxiv.org/abs/math/9805063v1

Mathematics

Operator Algebras

5 pages, LaTeX2e, to be published in Comptes rendues de l'Academie des Sciences de Paris

Scientific paper

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.

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