Quantum Hall effect on the hyperbolic plane in the presence of disorder

DOI10.1023/A:1007589817182zbMath1055.81571arXivmath/9804128OpenAlexW2106293651MaRDI QIDQ1300952

Alan L. Carey, Varghese Mathai, Keith C. Hannabuss

Publication date: 2 April 2001

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

Full work available at URL: https://arxiv.org/abs/math/9804128

zbMATH Keywords

hyperbolic spaceFuchsian groupsK-theory\(C^*\)-algebrascyclic cohomologyrandom potentialsergodic actionHarper operatorQuantum Hall effectgaps in extended states

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Many-body theory; quantum Hall effect (81V70) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42) Index theory (19K56)

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