The C*-algebra of an affine map on the 3-torus

preprint2012arXivOpen access

Abstract

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.

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