Correspondences between graph C*-algebras
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916807854522368 |
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| author | Bentmann, Rasmus Meyer, Ralf |
| author_facet | Bentmann, Rasmus Meyer, Ralf |
| contents | We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomorphism on a certain invariant to correspondences back and forth that are inverse to each other up to ideal-preserving homotopy. This implies a classification theorem for purely infinite graph C*-algebras up to stable isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_06596 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Correspondences between graph C*-algebras Bentmann, Rasmus Meyer, Ralf Operator Algebras Primary 46L35, Secondary 18E30, 19K35 We describe proper correspondences from graph C*-algebras to arbitrary C*-algebras by K-theoretic data. If the target C*-algebra is a graph C*-algebra as well, we may lift an isomorphism on a certain invariant to correspondences back and forth that are inverse to each other up to ideal-preserving homotopy. This implies a classification theorem for purely infinite graph C*-algebras up to stable isomorphism. |
| title | Correspondences between graph C*-algebras |
| topic | Operator Algebras Primary 46L35, Secondary 18E30, 19K35 |
| url | https://arxiv.org/abs/2404.06596 |