The RFD property for graph $C^*$-algebras
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866913015887036416 |
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| author | Bellier, Guillaume |
| author_facet | Bellier, Guillaume |
| contents | It is proved that the C*-algebra of a graph is residually finite dimensional (RFD) if and only if the graph has no infinite receiver, no cycle with an exit, no infinite ackward chain and from each vertex, there is a finite path to a sink or a cycle or an infinite emitter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06993 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The RFD property for graph $C^*$-algebras Bellier, Guillaume Operator Algebras 46L05 It is proved that the C*-algebra of a graph is residually finite dimensional (RFD) if and only if the graph has no infinite receiver, no cycle with an exit, no infinite ackward chain and from each vertex, there is a finite path to a sink or a cycle or an infinite emitter. |
| title | The RFD property for graph $C^*$-algebras |
| topic | Operator Algebras 46L05 |
| url | https://arxiv.org/abs/2604.06993 |