Details
| Titel in Übersetzung | Construction of spectral triples starting from Fredholm modules |
|---|---|
| Originalsprache | Französisch |
| Seiten (von - bis) | 1195-1199 |
| Seitenumfang | 5 |
| Fachzeitschrift | Comptes Rendus de l'Academie des Sciences - Series I: Mathematics |
| Jahrgang | 326 |
| Ausgabenummer | 10 |
| Publikationsstatus | Veröffentlicht - Mai 1998 |
| Extern publiziert | Ja |
Abstract
Let (A, H, F) be a p-summable Fredholm module where the algebra A = ℂΓ 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, ∞)-summable we obtain (8, ∞)-summability of (A, H, D) for each q > p + r + 1.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Allgemeine Mathematik
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in: Comptes Rendus de l'Academie des Sciences - Series I: Mathematics, Jahrgang 326, Nr. 10, 05.1998, S. 1195-1199.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Construction de triplets spectraux à partir de modules de Fredholm
AU - Schrohe, Elmar
AU - Walze, Markus
AU - Warzecha, Jan Martin
N1 - Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1998/5
Y1 - 1998/5
N2 - Let (A, H, F) be a p-summable Fredholm module where the algebra A = ℂΓ 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, ∞)-summable we obtain (8, ∞)-summability of (A, H, D) for each q > p + r + 1.
AB - Let (A, H, F) be a p-summable Fredholm module where the algebra A = ℂΓ 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, ∞)-summable we obtain (8, ∞)-summability of (A, H, D) for each q > p + r + 1.
UR - http://www.scopus.com/inward/record.url?scp=0032066970&partnerID=8YFLogxK
U2 - 10.1016/S0764-4442(98)80226-7
DO - 10.1016/S0764-4442(98)80226-7
M3 - Article
AN - SCOPUS:0032066970
VL - 326
SP - 1195
EP - 1199
JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
SN - 0764-4442
IS - 10
ER -