arXiv Open Access 2001

A semicontinuous trace for almost local operators on an open manifold

Daniele Guido Tommaso Isola

Lihat Sumber

Abstrak

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).

Topik & Kata Kunci

math.DG math.OA

Penulis (2)

Daniele Guido

Tommaso Isola

Format Sitasi

APA MLA BibTeX

Guido, D., Isola, T. (2001). A semicontinuous trace for almost local operators on an open manifold. https://arxiv.org/abs/math/0110294

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2001
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓