Generalized Connes–Chern characters inKK-theory with an application to weak invariants of topological insulators

DOI10.1142/S0129055X16500240zbMath1358.81130arXiv1606.08897OpenAlexW2460349219MaRDI QIDQ5298365

Hermann Schulz-Baldes, Emil Prodan

Publication date: 14 December 2016

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.08897

zbMATH Keywords

crossed productsKK-theorytopological insulatorsConnes-Chern characterlocal index formulaweak invariants

Mathematics Subject Classification ID

Exotic index theories on manifolds (58J22) Noncommutative geometry in quantum theory (81R60) Kasparov theory ((KK)-theory) (19K35)

Related Items (10)

Spectral decimation of a self-similar version of almost Mathieu-type operators ⋮ The FKMM-invariant in low dimension ⋮ Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮ The cohomology invariant for class DIII topological insulators ⋮ Index theory and topological phases of aperiodic lattices ⋮ The generators of the \(K\)-groups of the sphere ⋮ The spectral localizer for semifinite spectral triples ⋮ Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices ⋮ The cohomological nature of the Fu-Kane-Mele invariant ⋮ Topological lattice defects by groupoid methods and Kasparov’s KK-theory*

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