The C^*-Algebra of an Affine Map on the 3-Torus

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.

2010 Mathematics Subject Classification: 46L35, 37B99

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