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

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

2012-04-01

arxiv.org/abs/1204.0224v1

Mathematics

Operator Algebras

Scientific paper

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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