The spectral localizer for semifinite spectral triples

DOI10.1090/proc/15230zbMath1460.19007arXiv2004.13092OpenAlexW3036535348MaRDI QIDQ5146540

Tom Stoiber, Hermann Schulz-Baldes

Publication date: 26 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.13092

zbMATH Keywords

matrix algebrasignatureDirac operatorindexspectral flowspectral triplenumerical evaluationtopological insulatorspectral localizer

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) (K)-theory and operator algebras (including cyclic theory) (46L80) Spectrum, resolvent (47A10) Commutators, derivations, elementary operators, etc. (47B47) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) (Semi-) Fredholm operators; index theories (47A53) Applications of selfadjoint operator algebras to physics (46L60) Index theory (19K56) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (4)

Callias-type operators associated to spectral triples ⋮ Spectral localization for semimetals and Callias operators ⋮ Spectral localizer for line-gapped non-Hermitian systems ⋮ Skew localizer and \(\mathbb{Z}_2\)-flows for real index pairings

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