Magnetic twisted actions on general abelian $C^*$-algebras

DOI10.7900/jot.2010jun30.1896zbMath1274.46125arXiv1006.3221OpenAlexW3098458088MaRDI QIDQ4918123

Marius Măntoiu, Fabian Belmonte, Max Lein

Publication date: 6 May 2013

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3221

zbMATH Keywords

Hamiltonian operatorstwisted crossed productstrict deformation quantizationpseudodifferential algebramagnetic twisted actions

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Applications of operator algebras to the sciences (47L90) Noncommutative dynamical systems (46L55) General quantum mechanics and problems of quantization (81S99) Poisson algebras (17B63) Quantizations, deformations for selfadjoint operator algebras (46L65)

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A calculus for magnetic pseudodifferential super operators ⋮ Chern numbers, localisation and the bulk-edge correspondence for continuous models of topological phases ⋮ Non-commutative Chern numbers for generic aperiodic discrete systems ⋮ Index theory and topological phases of aperiodic lattices ⋮ Localised module frames and Wannier bases from groupoid Morita equivalences ⋮ Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals ⋮ Pseudodifferential calculus on noncommutative tori, II. Main properties

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