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

Moulay-Tahar Benameur·Herve Oyono-Oyono
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Abstract

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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Moulay-Tahar Benameur, Herve Oyono-Oyono. 2001-12-12. Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard). https://arxiv.org/abs/math/0112113

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