K-theory of quasicrystals, gap labelling: The octagonal lattice;K-théorie des quasi-cristaux, image par la trace : Le cas du réseau octogonal

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 326, Issue 2, 1998, Pages 197-200

  Bellissard, Jean ^a   Contensou, Edouard ^b   Legrand, André ^b  

^a INSTITUT UNIVERSITAIRE DE FRANCE   (France)

^b CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031627156     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0764-4442(97)89470-0     Document Type: Article

References (11)

1. [1] Bellissard J., K-theory for C*-algebras in solid state physics. Lect. Notes Phys. 257. Statistical Mechanics and Field Theory, Mathematical Aspects, 1986, pp. 99-256.
2. [2] Bellissard J., Gap labelling theorems for Schrödinger's operators, contribution to Number Theory and Physics, Luck Moussa Waldschmit Eds, Springer, 1992.
3. [3] Bellissard J., Contensou E., Legrand A., K-theory for quasicrytals and their gap labelling, (1997) en préparation.
4. [4] Bratteli O., Structure spaces of approximately finite-dimensional C*-algebras. J. Funct. Analysis 16 (1974) 192-204.
5. [5] Contensou E., La C*-algèbre d'une quasi-représentation. C. R. Acad. Sci. Paris, 1. 324 (1997) Série 1 293-295.
6. [6] Fieux E., Classes caractéristiques d'une 11-algèbre et suite spectrale en K-théorie bivariante, K-Theory 5 (1991) 71-96.
7. [7] Kasparov G.G., Equivariant K K-théorie and the Novikov conjecture. Invent. Math. 91 (1988) 147-201.
8. [8] Katz A., Duneau M., Quasiperiodics patterns and icosahedral symmetry. J. Physique 47 (1986) 181-196.
9. [9] Muhly P.S., Renault J.N., Williams D.P., Equivalence and isomorphism for groupoïd C*-algebras. J. Operator Theory 17 (1987) 3-22.
10. [10] Renault J., A groupoïd approach to C*-algebras. Lect. Notes Math. 793. Springer-Verlag, 1980.
11. [11] Rieffel M.A. , Applications of strong Morita equivalence to transformation group C*-algebras. Proc. Symp. Pure Math. 38 (1) (1982) 299-310.