On split exact sequences and KK-equivalences of amplified graph C*-algebras
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2026
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917385883090944 |
|---|---|
| author | Reimann, Jesse Zegers, Sophie Emma |
| author_facet | Reimann, Jesse Zegers, Sophie Emma |
| contents | We give a general methodology for constructing split exact sequences of amplified graph C*-algebras with sinks. This in turn allows us to construct explicit KK-equivalences with $\mathbb{C}^N$ for a large class of C*-algebras, including the quantum Grassmannian $\mathrm{Gr}_q(2,4)$. We discuss compatibility with known (quantum) CW-constructions and give an explicit KK-equivalence between the classical and quantum projective spaces $\mathbb{C}P^1$ and $\mathbb{C}P_q^1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04597 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On split exact sequences and KK-equivalences of amplified graph C*-algebras Reimann, Jesse Zegers, Sophie Emma Operator Algebras K-Theory and Homology Quantum Algebra We give a general methodology for constructing split exact sequences of amplified graph C*-algebras with sinks. This in turn allows us to construct explicit KK-equivalences with $\mathbb{C}^N$ for a large class of C*-algebras, including the quantum Grassmannian $\mathrm{Gr}_q(2,4)$. We discuss compatibility with known (quantum) CW-constructions and give an explicit KK-equivalence between the classical and quantum projective spaces $\mathbb{C}P^1$ and $\mathbb{C}P_q^1$. |
| title | On split exact sequences and KK-equivalences of amplified graph C*-algebras |
| topic | Operator Algebras K-Theory and Homology Quantum Algebra |
| url | https://arxiv.org/abs/2604.04597 |