Gaplessness of Landau Hamiltonians on hyperbolic half-planes via coarse geometry

DOI10.1007/s00220-021-04068-0zbMath1470.51004arXiv2009.07688OpenAlexW3086158641WikidataQ114230939 ScholiaQ114230939MaRDI QIDQ2042358

Guo Chuan Thiang, Matthias Ludewig

Publication date: 29 July 2021

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

Full work available at URL: https://arxiv.org/abs/2009.07688

zbMATH Keywords

K-theorycoarse geometryLandau quantizationLandau HamiltonianRoe algebracoarse index

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Index theory and related fixed-point theorems on manifolds (58J20) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Lipschitz and coarse geometry of metric spaces (51F30)

Related Items (5)

Large-scale geometry obstructs localization ⋮ Locally equivalent quasifree states and index theory ⋮ Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras ⋮ Quantization of edge currents along magnetic interfaces: a \(K\)-theory approach ⋮ Delocalized spectra of Landau operators on helical surfaces

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