A note on commutation relations and finite dimensional approximations
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866913211526152192 |
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| author | Lledó, Fernando Martínez, Diego |
| author_facet | Lledó, Fernando Martínez, Diego |
| contents | In this article we show that the main C*-algebras describing the canonical commutation relations of quantum physics, i.e., the Weyl and resolvent algebras, are in the class of Følner C*-algebras, a class of C*-algebras admitting a kind of finite approximations of Følner type. In particular, we show that the tracial states of the resolvent algebra are uniform locally finite dimensional. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_15221 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A note on commutation relations and finite dimensional approximations Lledó, Fernando Martínez, Diego Operator Algebras Mathematical Physics 81T05, 46L05, 47L90 In this article we show that the main C*-algebras describing the canonical commutation relations of quantum physics, i.e., the Weyl and resolvent algebras, are in the class of Følner C*-algebras, a class of C*-algebras admitting a kind of finite approximations of Følner type. In particular, we show that the tracial states of the resolvent algebra are uniform locally finite dimensional. |
| title | A note on commutation relations and finite dimensional approximations |
| topic | Operator Algebras Mathematical Physics 81T05, 46L05, 47L90 |
| url | https://arxiv.org/abs/2111.15221 |