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arXiv · 0705.1392

The spectral shift function and spectral flow

N. A. Azamov·A. L. Carey·F. A. Sukochev
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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.

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N. A. Azamov, A. L. Carey, F. A. Sukochev. 2007-05-10. The spectral shift function and spectral flow. https://doi.org/10.1007/s00220-007-0329-9

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