The Motzkin subproduct system
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915619500195840 |
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| author | Aiello, Valeriano Del Vecchio, Simone Rossi, Stefano |
| author_facet | Aiello, Valeriano Del Vecchio, Simone Rossi, Stefano |
| contents | We introduce a subproduct system of finite-dimensional Hilbert spaces by using the Motzkin planar algebra and its Motzkin Jones-Wenzl idempotents, which generalizes the Temperley-Lieb subproduct system of Habbestad and Neshveyev. We provide a description of the corresponding Toeplitz and Cuntz-Pimsner C$^*$-algebras as universal C$^*$-algebras, defined in terms of generators and relations, and we highlight properties of their representation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_14057 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Motzkin subproduct system Aiello, Valeriano Del Vecchio, Simone Rossi, Stefano Operator Algebras Quantum Algebra We introduce a subproduct system of finite-dimensional Hilbert spaces by using the Motzkin planar algebra and its Motzkin Jones-Wenzl idempotents, which generalizes the Temperley-Lieb subproduct system of Habbestad and Neshveyev. We provide a description of the corresponding Toeplitz and Cuntz-Pimsner C$^*$-algebras as universal C$^*$-algebras, defined in terms of generators and relations, and we highlight properties of their representation theory. |
| title | The Motzkin subproduct system |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2502.14057 |