Spectral Flow for Nonunital Spectral Triples

DOI10.4153/CJM-2014-042-XzbMath1365.46065arXiv1401.1354OpenAlexW2962773443MaRDI QIDQ5264274

Adam Rennie, Pheodor A. Sukochev, Alan L. Carey, Victor Gayral, John Phillips

Publication date: 27 July 2015

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.1354

zbMATH Keywords

spectral flowspectral triplelocal index theorem

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative geometry (à la Connes) (58B34) Functional calculus in topological algebras (46H30)

Related Items (8)

Locally equivalent quasifree states and index theory ⋮ Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮ The Witten index and the spectral shift function ⋮ Noncommutative geometry for symmetric non-self-adjoint operators ⋮ Callias-type operators associated to spectral triples ⋮ On a spectral flow formula for the homological index ⋮ The spectral localizer for semifinite spectral triples ⋮ Index pairings for \(\mathbb{R}^n\)-actions and Rieffel deformations

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