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

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

2001-12-12

arxiv.org/abs/math/0112113v1

Mathematics

K-Theory and Homology

11 pages

Scientific paper

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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