4.6 Article

Index theory for quasi-crystals I. Computation of the gap-label group

Journal

JOURNAL OF FUNCTIONAL ANALYSIS
Volume 252, Issue 1, Pages 137-170

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2006.03.029

Keywords

index; foliation; quasi-crystal; k-theory

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In this paper, we give a complete solution to the gap labelling conjecture for quasi-crystals. The method adopted relies on the index theory for laminations, and the main tools are the Connes-Skandalis longitudinal K-theory index morphism together with the measured index formula. (C) 2007 Published by Elsevier Inc.

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