Callias-type operators associated to spectral triples

Journal of noncommutative geometry

article

Hermann Schulz-Baldes¹  Tom Stoiber¹ 

[1] Friedrich-Alexander-Universität Erlangen-Nürnberg

关键词: Callias operator;    index theorem;    spectral flow;   

DOI  :  10.4171/jncg/505

学科分类：神经科学

来源: European Mathematical Society

【 摘 要 】

Callias-type (or Dirac-Schrödinger) operators associated to abstract semifinite spectral triples are introduced and their indices are computed in terms of an associated index pairing derived from the spectral triple. The result is then interpreted as an index theorem for a non-commutative analogue of spectral flow. Both even and odd spectral triples are considered, and both commutative and non-commutative examples are given.

【 授权许可】

CC BY