Geodesic
Quartic Algebras
Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1167-1191

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we study the fixed point algebra of the automorphism of the rotation algebra , θ = p/q with p, q coprime positive integers, given by u → v -1, v → u. We give a general characterization of the fixed point algebra, determine its K-theory and consider the related crossed-product algebra ⋊Ƭ Z4.
DOI : 10.4153/CJM-1992-070-4
Mots-clés : 46L40, 46L05, 46L55, 46L80 
Farsi, Carla; Watling, Neil. Quartic Algebras. Canadian journal of mathematics, Tome 44 (1992) no. 6, pp. 1167-1191. doi: 10.4153/CJM-1992-070-4
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[1] 1. Apostol, T., Introduction to Analytic Number Theory, Undergraduate Texts in Mathematics, Springer- Verlag, New-York, 1984. Google Scholar

[2] 2. Berndt, B.C. and Evans, R.J., The Determination of Gauss Sums, Bull. Amer. Math. Soc. 2(1981), 107–129. Google Scholar

[3] 3. Bratteli, O., Elliott, G.A., Evans, D.E. and Kishimoto, A., Non commutative spheres I, Int. Jour, of Math., 2(1991), 139–166. Google Scholar

[4] 4. Bratteli, O.,Non commutative spheres II, Rational Rotations, Jour, of Op. Th., to appear. Google Scholar

[5] 5. Farsi, C., K-theoretical index Theorems for orbifolds, Quat. J. Math. 43(1992), 183–200. Google Scholar

[6] 6. Farsi, C. and Watling, N., Irrational fixed point subalgebras I, preprint. Google Scholar

[7] 7. Farsi, C., Cubic algebras, preprint. Google Scholar

[8] 8. Farsi, C., Elliptic algebras, preprint. Google Scholar

[9] 9. Gauss, C.F., Summatio quarumdamserierumsingularium, Comm. soc. reg. sci. Gottingensis rec. 1( 1811 ). Google Scholar

[10] 10. Gauss, C.F., Werke, K. Gesell. Wiss., Göttingen, 1876. Google Scholar

[11] 11. Grosswald, E., Representations of integers as sums of squares, Springer-Verlag, New York, 1985. Google Scholar

[12] 12. Høegh-Krohn, R. and Skjelbred, T., Classification of C*-algebras admitting ergodic actions on the two dimensional torus, J. Reine Angewandte Math. 328(1981), 1–8. Google Scholar

[13] 13. Landau, E., Elementary Number Theory, 2nd edition, Chelsea Publishing Company, New York, 1966. Google Scholar

[14] 14. Narasimhan, R., Complex Analysis in one variable, Birkhauser, Boston, Basel, Stuttgard, 1985. Google Scholar

[15] 15. Rosenberg, J., Appendix to “Crossed products of UHF algebras by product type actions “, Duke Math. J. 46(1979), 25–26. Google Scholar

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