Decomposition theorems for unital graph C*-algebras
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917310913052672 |
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| author | Bellier, Guillaume Shulman, Tatiana |
| author_facet | Bellier, Guillaume Shulman, Tatiana |
| contents | We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph C*-algebra is residually finite-dimensional and when it is operator norm stable (that is, matricially semiprojective). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_12769 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Decomposition theorems for unital graph C*-algebras Bellier, Guillaume Shulman, Tatiana Operator Algebras 46L05, 46L09 We prove that unital graph C*-algebras often admit a convenient decomposition into amalgamated free products. We use this to give a complete characterization of when a unital graph C*-algebra is residually finite-dimensional and when it is operator norm stable (that is, matricially semiprojective). |
| title | Decomposition theorems for unital graph C*-algebras |
| topic | Operator Algebras 46L05, 46L09 |
| url | https://arxiv.org/abs/2505.12769 |