1998/05/13 by Elmar Schrohe, E. Schrohe, Schrohe, E. +5
Computer Science · Mathematics · Physics and Astronomy · #46L60 (Secondary) #46L87 (Primary) #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #Holomorphic and Operator Theory #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Operator Algebras (math.OA) #math-ph #math.MP #math.OA #msc:46L60 #msc:46L87
paper · pdf · doi:10.48550/arxiv.math/9805063
5 pages, LaTeX2e, to be published in Comptes rendues de l'Academie des Sciences de Paris
arxiv created 1998/05/13 · openalex publication_date 1998/05/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let (A,H,F) be a p-summable Fredholm module where the algebra A= C Γis 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,∞)-summable we obtain (q,∞)-summability of (A,H,D) for each q > p+r+1.