A proof of the Gap Labeling Conjecture

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dc.creatorKaminker, Jerome
dc.creatorPutnam, Ian
dc.date2002-05-10
dc.date.accessioned2026-07-07T04:48:24Z
dc.date.available2026-07-07T04:48:24Z
dc.descriptionWe give a proof of the Gap Labeling Conjecture formulated by J. Bellissard. This gives information about the spectrum of a Schrodinger operator associated to a quasicrystal. The proof makes use of a version of Connes' Index Theorem for Foliations which was introduced by C. Moore and C. Schochet and is appropriate for foliated spaces. These arise naturally in dynamics and are likely to have further applications.
dc.description9 pages, Latex file
dc.identifierhttps://arxiv.org/abs/math/0205102
dc.identifierhttp://arxiv.org/abs/math/0205102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64031
dc.subjectK-Theory and Homology
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject46L87; 52C23
dc.titleA proof of the Gap Labeling Conjecture
dc.typetext

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