A semicontinuous trace for almost local operators on an open manifold
| dc.creator | Guido, Daniele | |
| dc.creator | Isola, Tommaso | |
| dc.date | 2001-10-26 | |
| dc.date.accessioned | 2026-07-07T04:44:06Z | |
| dc.date.available | 2026-07-07T04:44:06Z | |
| dc.description | A semicontinuous semifinite trace is constructed on the C*-algebra generated by the finite propagation operators acting on the L^2-sections of a hermitian vector bundle on an amenable open manifold of bounded geometry. This trace is the semicontinuous regularization of a functional already considered by J. Roe. As an application, we show that, by means of this semicontinuous trace, Novikov-Shubin numbers for amenable manifolds can be defined (cf. math.OA/9802015 for an alternate definition). | |
| dc.description | 17 pages, to appear on the International Journal of mathematics. This paper roughly correspond to the first section of the unpublished preprint math.DG/9809040 | |
| dc.identifier | https://arxiv.org/abs/math/0110294 | |
| dc.identifier | http://arxiv.org/abs/math/0110294 | |
| dc.identifier | Internat. J. Math. 12, (2001) 1087-1102 | |
| dc.identifier | doi:10.1142/S0129167X01001106 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62503 | |
| dc.subject | Differential Geometry | |
| dc.subject | Operator Algebras | |
| dc.subject | 58-XX; 46Lxx | |
| dc.title | A semicontinuous trace for almost local operators on an open manifold | |
| dc.type | text |