1. Callias-type operators associated to spectral triples
- Author
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Schulz-Baldes, Hermann and Stoiber, Tom
- Subjects
Algebra and Number Theory ,Mathematics - K-Theory and Homology ,FOS: Mathematics ,FOS: Physical sciences ,K-Theory and Homology (math.KT) ,Mathematical Physics (math-ph) ,Geometry and Topology ,Mathematical Physics - Abstract
Callias-type (or Dirac-Schr\"odinger) 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., Comment: numerous minor corrections, to appear in J. Noncommutative Geometry
- Published
- 2023
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