The $C^\ast$-algebra of an affine map on the 3-torus

Kasper K.S. Andersen; Klaus Thomsen

doi:10.4171/dm/375

JournalsdmVol. 17pp. 545–572

The $C^{*}$ -algebra of an affine map on the 3-torus

Kasper K.S. Andersen
Klaus Thomsen
Institut for Matematiske Institut for matematik Fag Ny Munkegade University of Copenhagen 8000 Aarhus C, Denmark DK-2100, Copenhagen

$The $C^\ast$-algebra of an affine map on the 3-torus cover$

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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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Kasper K.S. Andersen, Klaus Thomsen, The $C^{*}$ -algebra of an affine map on the 3-torus. Doc. Math. 17 (2012), pp. 545–572

DOI 10.4171/DM/375