A semicontinuous trace for almost local operators on an open manifold

Details A semicontinuous trace for almost local operators on an open manifold A semicontinuous trace for almost local operators on an open manifold

2001-10-26

arxiv.org/abs/math/0110294v1

Internat. J. Math. 12, (2001) 1087-1102

Mathematics

Differential Geometry

17 pages, to appear on the International Journal of mathematics. This paper roughly correspond to the first section of the unp

Scientific paper

10.1142/S0129167X01001106

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).

Affiliated with

Also associated with

No associations

Rating

A semicontinuous trace for almost local operators on an open manifold does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A semicontinuous trace for almost local operators on an open manifold, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A semicontinuous trace for almost local operators on an open manifold will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-728544