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| HAL: hal-00483066, version 1 |
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| Journal of Functional Analysis 252, 1 (2007) 137-170 |
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| Index theory for quasi-crystals I. Computation of the gap-label group |
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| Moulay Benameur 1Hervé Oyono-Oyono 2 |
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| (2007-08-17) |
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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. |
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| 1: | Laboratoire de Mathématiques et Applications de Metz (LMAM) |
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CNRS : UMR7122 – Université Paul Verlaine - Metz |
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| 2: | Laboratoire de Mathématiques |
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CNRS : UMR6620 – Université Blaise Pascal - Clermont-Ferrand II |
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| Subject | : | Mathematics/Operator Algebras Mathematics/K-Theory and Homology Physics/Mathematical Physics Mathematics/Mathematical Physics Mathematics/Dynamical Systems |
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| Index theory – Foliations – Quasi-crystal – K-theory |
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| Attached file list to this document: | |||||
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| hal-00483066, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00483066 | |
| oai:hal.archives-ouvertes.fr:hal-00483066 | |
| From: Hervé Oyono-Oyono | |
| Submitted on: Wednesday, 12 May 2010 14:30:21 | |
| Updated on: Sunday, 16 May 2010 11:09:55 | |
