On the homotopy groups of the automorphism groups of Cuntz-Krieger algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916198395936768 |
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| author | Matsumoto, Kengo Sogabe, Taro |
| author_facet | Matsumoto, Kengo Sogabe, Taro |
| contents | In this paper, we first present the homotopy groups of the automorphism groups of Cuntz--Krieger algebras in terms of the underlying matrices of the Cuntz--Krieger algebras. We also show that the homotopy groups are complete invariants of the isomorphism class of the Cuntz--Krieger algebras. As a result, the isomorphism type of Cuntz--Krieger algebras are completely characterized by the group structure of the weak and strong extension groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06115 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the homotopy groups of the automorphism groups of Cuntz-Krieger algebras Matsumoto, Kengo Sogabe, Taro Operator Algebras In this paper, we first present the homotopy groups of the automorphism groups of Cuntz--Krieger algebras in terms of the underlying matrices of the Cuntz--Krieger algebras. We also show that the homotopy groups are complete invariants of the isomorphism class of the Cuntz--Krieger algebras. As a result, the isomorphism type of Cuntz--Krieger algebras are completely characterized by the group structure of the weak and strong extension groups. |
| title | On the homotopy groups of the automorphism groups of Cuntz-Krieger algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2404.06115 |