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

2012/04/01 by Kasper K. S. Andersen, Klaus Thomsen, Andersen, Kasper K. S. +1
Mathematics · #FOS: Mathematics #Operator Algebras (math.OA) #math.OA

paper · pdf · doi:10.48550/arxiv.1204.0224

arxiv created 2012/04/01 · arxiv updated 2012/04/03

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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