The C*-algebra of an affine map on the 3-torus
Kasper K. S. Andersen, Klaus Thomsen
TL;DR
This paper investigates the structure of C*-algebras generated by affine maps on tori, providing conditions for strong transitivity and fully characterizing these algebras in low dimensions.
Contribution
It offers necessary and sufficient conditions for strong transitivity and completely determines the C*-algebra structure for affine maps on 1-, 2-, and 3-dimensional tori.
Findings
Conditions for strong transitivity on tori are established.
Complete structure determination for affine maps on low-dimensional tori.
Characterization of C*-algebras associated with these maps.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Algebraic structures and combinatorial models