English

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

K-Theory and Homology 2007-05-23 v1 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.math/0112113,
  title  = {Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)},
  author = {Moulay-Tahar Benameur and Herve Oyono-Oyono},
  journal= {arXiv preprint arXiv:math/0112113},
  year   = {2007}
}

Comments

11 pages