Spectral flow and Dixmier traces

Details Spectral flow and Dixmier traces Spectral flow and Dixmier traces

2002-05-08

arxiv.org/abs/math/0205076v1

Mathematics

Operator Algebras

Scientific paper

We obtain general theorems which enable the calculation of the Dixmier trace in terms of the asymptotics of the zeta function and of the heat operator in a general semi-finite von Neumann algebra. Our results have several applications. We deduce a formula for the Chern character of an odd ${\mathcal L}^{(1,\infty)}$-summable Breuer-Fredholm module in terms of a Hochschild 1-cycle. We explain how to derive a Wodzicki residue for pseudo-differential operators along the orbits of an ergodic $\IR^n$ action on a compact space $X$. Finally we give a short proof an index theorem of Lesch for generalised Toeplitz operators.

Affiliated with

Also associated with

No associations

Rating

Spectral flow and Dixmier traces 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 Spectral flow and Dixmier traces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spectral flow and Dixmier traces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-504837