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arxiv: math/0112113 · v1 · submitted 2001-12-12 · 🧮 math.KT · math-ph· math.MP

Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)

classification 🧮 math.KT math-phmath.MP
keywords conjecturegap-labellingquasi-crystalsbellissardcharactercherngiveindex
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In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. The main tools are the measured index theorem for laminations and a naturality of the longitudinal Chern character.

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