English

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

Operator Algebras 2012-04-03 v1

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.

Keywords

Cite

@article{arxiv.1204.0224,
  title  = {The C*-algebra of an affine map on the 3-torus},
  author = {Kasper K. S. Andersen and Klaus Thomsen},
  journal= {arXiv preprint arXiv:1204.0224},
  year   = {2012}
}