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

2001/12/12 by Moulay-Tahar Benameur, Benameur, Moulay-Tahar, Herve Oyono-Oyono +1
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #K-Theory and Homology (math.KT) #Mathematical Physics (math-ph) #math-ph #math.KT #math.MP

paper · pdf · doi:10.48550/arxiv.math/0112113

11 pages

arxiv created 2001/12/12 · arxiv updated 2009/11/30

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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