On the 𝐾-theory of groups of the form ℤⁿ⋊ℤ/𝕞 with 𝕞 square-free
Abstract
We provide an explicit computation of the topological K K -theory groups K ∗ ( C r ∗ ( Z n ⋊ Z / m ) ) K_*(C_r^*(\mathbb {Z}^n\rtimes \mathbb {Z}/m)) of semidirect products of the form Z n ⋊ Z / m \mathbb {Z}^n\rtimes \mathbb {Z}/m with m m square-free. We emphasize that we impose no conditions on the Z / m \mathbb {Z}/m -action on Z n \mathbb {Z}^n . This generalizes previous computations of Davis–Lück and Langer–Lück.
Fields of Study & Subjects
Finite Group Theory Research
Geometric and Algebraic Topology
Rings
Modules
and Algebras
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publisher
- American Mathematical Society (AMS)
- Publication date
- 16 July 2026
- Language
- EN