A discrete model of the integer quantum Hall effect

DOI10.2977/prims/1195163182zbMath0858.46048OpenAlexW2124035178MaRDI QIDQ1922669

Paul J. McCann, Alan L. Carey

Publication date: 31 October 1996

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195163182

zbMATH Keywords

Chern characterdiscrete modelFredholm moduleinteger quantum Hall effecttwisted group \(C^*\)-algebrasassociated \(C^*\)-algebratwisted cross products

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Noncommutative dynamical systems (46L55) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items (3)

The geometry of (non-abelian) Landau levels ⋮ The bulk-edge correspondence for the quantum Hall effect in Kasparov theory ⋮ The noncommutative geometry of the Landau Hamiltonian: metric aspects

Cites Work

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• Unitary representations of group extensions. I
• Algebras almost commuting with Clifford algebras in a \(II_{\infty}\) factor
• Cantor spectrum for the almost Mathieu equation
• K-theoretic invariants for \(C^*\)-algebras associated to transformations and induced flows
• Gauss polynomials and the rotation algebra
• The structure of imprimitivity algebras
• C*-algebras associated with irrational rotations
• Strong Morita equivalence of certain transformation group \(C^*\)-algebras
• The local structure of twisted covariance algebras
• Discrete magnetic Laplacian
• Geometric invariants of the quantum Hall effect
• Inequalities for traces on von Neumann algebras
• Classification of C*-algebras admitting ergodic actions of the two-dimensional torus.
• Twisted crossed products of C*-algebras
• On the Structure of Twisted Group C ∗ -Algebras
• The noncommutative geometry of the quantum Hall effect
• Unitary representations of solvable Lie groups

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