The spectral shift function and spectral flow

Details The spectral shift function and spectral flow The spectral shift function and spectral flow

2007-05-10

arxiv.org/abs/0705.1392v1

Mathematics

Functional Analysis

47 pages

Scientific paper

10.1007/s00220-007-0329-9

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.

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