Geodesic
The $C^\ast$-algebra of an affine map on the 3-torus
Documenta mathematica, Tome 17 (2012), pp. 545-572.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We study the $C^*$-algebra of an affine map on a compact abelian group and give necessary and sufficient conditions for strong transitivity when the group is a torus. The structure of the $C^*$-algebra is completely determined for all strongly transitive affine maps on a torus of dimension one, two or three.
Classification : 46L35, 37B99 
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     author = {Andersen, Kasper K.S. and Thomsen, Klaus},
     title = {The $C^\ast$-algebra of an affine map on the 3-torus},
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Andersen, Kasper K.S.; Thomsen, Klaus. The $C^\ast$-algebra of an affine map on the 3-torus. Documenta mathematica, Tome 17 (2012), pp. 545-572. http://geodesic.mathdoc.fr/item/DOCMA_2012__17__a13/