A class of Exel--Laca algebras reciprocal to Cuntz--Krieger algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913075923255296 |
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| author | Matsumoto, Kengo Sogabe, Taro |
| author_facet | Matsumoto, Kengo Sogabe, Taro |
| contents | The reciprocality means a duality in Kirchberg algebras between K-theory groups and strong extension groups. In the paper, we will find a certain class of unital simple Exel--Laca algebras for which the reciprocal duals are simple Cuntz--Krieger algebras in terms of the underlying infinite matrices. In our procedure to obtain simple Cuntz--Krieger algebras from Exel--Laca algebras, we compute the strong extension groups for Exel--Laca algebras belonging to the class. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_27446 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A class of Exel--Laca algebras reciprocal to Cuntz--Krieger algebras Matsumoto, Kengo Sogabe, Taro Operator Algebras The reciprocality means a duality in Kirchberg algebras between K-theory groups and strong extension groups. In the paper, we will find a certain class of unital simple Exel--Laca algebras for which the reciprocal duals are simple Cuntz--Krieger algebras in terms of the underlying infinite matrices. In our procedure to obtain simple Cuntz--Krieger algebras from Exel--Laca algebras, we compute the strong extension groups for Exel--Laca algebras belonging to the class. |
| title | A class of Exel--Laca algebras reciprocal to Cuntz--Krieger algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2604.27446 |