The spectral shift function and spectral flow
Functional Analysis
2009-11-13 v1 Spectral Theory
Abstract
This paper extends Krein's spectral shift function theory to the setting of semifinite spectral triples. We define the spectral shift function under these hypotheses via Birman-Solomyak spectral averaging formula and show that it computes spectral flow.
Cite
@article{arxiv.0705.1392,
title = {The spectral shift function and spectral flow},
author = {N. A. Azamov and A. L. Carey and F. A. Sukochev},
journal= {arXiv preprint arXiv:0705.1392},
year = {2009}
}