Geodesic
The $C^\ast$-algebra of an affine map on the 3-torus
Documenta mathematica, Tome 17 (2012), pp. 545-572
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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.
DOI : 10.4171/dm/375
Classification : 37B99, 46L35 
@article{10_4171_dm_375,
     author = {Kasper K.S. Andersen and Klaus Thomsen},
     title = {The $C^\ast$-algebra of an affine map on the 3-torus},
     journal = {Documenta mathematica},
     pages = {545--572},
     year = {2012},
     volume = {17},
     doi = {10.4171/dm/375},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/375/}
}
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Kasper K.S. Andersen; Klaus Thomsen. The $C^\ast$-algebra of an affine map on the 3-torus. Documenta mathematica, Tome 17 (2012), pp. 545-572. doi: 10.4171/dm/375

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