A new perspective on spectra of quantum spaces
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866918503816101888 |
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| author | Brothier, Arnaud |
| author_facet | Brothier, Arnaud |
| contents | We consider a class of C*-algebras C(X) associated with quantum spaces such as spheres, projective spaces, and lens spaces. We introduce a non-self-adjoint operator algebra A together with an explicit functor from the category of representations of A to that of C(X). We then construct explicitly a family of one-dimensional representations of A that parametrise the entire spectrum of C(X). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_15861 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A new perspective on spectra of quantum spaces Brothier, Arnaud Operator Algebras Quantum Algebra We consider a class of C*-algebras C(X) associated with quantum spaces such as spheres, projective spaces, and lens spaces. We introduce a non-self-adjoint operator algebra A together with an explicit functor from the category of representations of A to that of C(X). We then construct explicitly a family of one-dimensional representations of A that parametrise the entire spectrum of C(X). |
| title | A new perspective on spectra of quantum spaces |
| topic | Operator Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2605.15861 |