Uniqueness Theorems for Twisted Steinberg Algebras
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911673030279168 |
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| author | Bongcawel, Rizalyn S. Cabardo, Lyster Rey B. Clark, Lisa O. |
| author_facet | Bongcawel, Rizalyn S. Cabardo, Lyster Rey B. Clark, Lisa O. |
| contents | Given an ample Hausdorff groupoid $G$, a unital commutative ring $R$, and a discrete twist $(Σ,i,q)$, we establish a generalised uniqueness theorem for the twisted Steinberg algebra $A_R(G;Σ)$. By applying this theorem when $G$ is effective, we establish a Cuntz-Krieger uniqueness theorem as a corollary. We also prove a generalised graded uniqueness theorem for $A_R(G;Σ)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_11566 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Uniqueness Theorems for Twisted Steinberg Algebras Bongcawel, Rizalyn S. Cabardo, Lyster Rey B. Clark, Lisa O. Rings and Algebras 16S99(Primary), 22A22 (Secondary) Given an ample Hausdorff groupoid $G$, a unital commutative ring $R$, and a discrete twist $(Σ,i,q)$, we establish a generalised uniqueness theorem for the twisted Steinberg algebra $A_R(G;Σ)$. By applying this theorem when $G$ is effective, we establish a Cuntz-Krieger uniqueness theorem as a corollary. We also prove a generalised graded uniqueness theorem for $A_R(G;Σ)$. |
| title | Uniqueness Theorems for Twisted Steinberg Algebras |
| topic | Rings and Algebras 16S99(Primary), 22A22 (Secondary) |
| url | https://arxiv.org/abs/2605.11566 |