$C(SO_q(2n+1)/SO_q(2n-1))$ as iterated torsioned quantum double suspensions of $C(\mathbb{T})$
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2026
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866908840580087808 |
|---|---|
| author | Saurabh, Bipul |
| author_facet | Saurabh, Bipul |
| contents | Let $A$ be a unital $C^*$-algebra, and let $Σ^2_m A$ denote the $m$-torsioned quantum double suspension of $A$. For $q \in (0,1)$ and $n \geq 1$, we prove that the $C^*$-algebra corresponding to the quotient space $SO_q(2n+1)/SO_q(2n-1)$ is isomorphic to $Σ^{2(n-1)} \, Σ^2_2 \, Σ^{2(n-1)} C(\mathbb{T})$. It follows as a consequence that these spaces are independent of the deformation parameter $q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_17075 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | $C(SO_q(2n+1)/SO_q(2n-1))$ as iterated torsioned quantum double suspensions of $C(\mathbb{T})$ Saurabh, Bipul Operator Algebras Quantum Algebra 19K33, 46L80, 58B34 Let $A$ be a unital $C^*$-algebra, and let $Σ^2_m A$ denote the $m$-torsioned quantum double suspension of $A$. For $q \in (0,1)$ and $n \geq 1$, we prove that the $C^*$-algebra corresponding to the quotient space $SO_q(2n+1)/SO_q(2n-1)$ is isomorphic to $Σ^{2(n-1)} \, Σ^2_2 \, Σ^{2(n-1)} C(\mathbb{T})$. It follows as a consequence that these spaces are independent of the deformation parameter $q$. |
| title | $C(SO_q(2n+1)/SO_q(2n-1))$ as iterated torsioned quantum double suspensions of $C(\mathbb{T})$ |
| topic | Operator Algebras Quantum Algebra 19K33, 46L80, 58B34 |
| url | https://arxiv.org/abs/2602.17075 |