I tiakina i:
| Ngā kaituhi matua: | , , |
|---|---|
| Hōputu: | Preprint |
| I whakaputaina: |
2026
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| Ngā marau: | |
| Urunga tuihono: | https://arxiv.org/abs/2605.27936 |
| Ngā Tūtohu: |
Tāpirihia he Tūtohu
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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Rārangi ihirangi:
- Let $G$ be a finitely generated virtually abelian group and $[σ]\in H^2(G;\mathbb{T})$ such that $σ(x,y)$ is always a root of unity. We show that the nuclear dimension of the twisted group $C^*$-algebra $C^*(G,σ)$ is equal to the rank of a finite index abelian subgroup of $G$. We also show that $\mbox{dim}_{\text{nuc}}(C^*(\mathbb{Z}^r,σ))=r$ if and only if $σ$ is type I.