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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2405.09214 |
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| _version_ | 1866910450935922688 |
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| author | Trieb, Mirjam Weber, Moritz Zenner, Dean |
| author_facet | Trieb, Mirjam Weber, Moritz Zenner, Dean |
| contents | We give a definition of hypergraph C*-algebras. These generalize the well-known graph C*-algebras as well as ultragraph C*-algebras. In contrast to those objects, hypergraph C*-algebras are not always nuclear. We provide a number of non-nuclear examples, we prove a Gauge-Invariant Uniqueness Theorem for a subclass of hypergraph C*-algebras and we study moves on hypergraphs which generalize the moves in the theory of graph C*-algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_09214 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Hypergraph C*-algebras Trieb, Mirjam Weber, Moritz Zenner, Dean Operator Algebras We give a definition of hypergraph C*-algebras. These generalize the well-known graph C*-algebras as well as ultragraph C*-algebras. In contrast to those objects, hypergraph C*-algebras are not always nuclear. We provide a number of non-nuclear examples, we prove a Gauge-Invariant Uniqueness Theorem for a subclass of hypergraph C*-algebras and we study moves on hypergraphs which generalize the moves in the theory of graph C*-algebras. |
| title | Hypergraph C*-algebras |
| topic | Operator Algebras |
| url | https://arxiv.org/abs/2405.09214 |