Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
In this paper, W*-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W*-algebras.
| Prif Awduron: | , , |
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| Fformat: | Conference item |
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Open Publishing Association
2017
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| _version_ | 1826270177341210624 |
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| author | Rennela, M Staton, S Furber, R |
| author_facet | Rennela, M Staton, S Furber, R |
| author_sort | Rennela, M |
| collection | OXFORD |
| description | In this paper, W*-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W*-algebras. |
| first_indexed | 2024-03-06T21:36:45Z |
| format | Conference item |
| id | oxford-uuid:46859ce8-da9a-4876-8f85-a948a2f66a3c |
| institution | University of Oxford |
| last_indexed | 2024-03-06T21:36:45Z |
| publishDate | 2017 |
| publisher | Open Publishing Association |
| record_format | dspace |
| spelling | oxford-uuid:46859ce8-da9a-4876-8f85-a948a2f66a3c2022-03-26T15:14:13ZInfinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix AlgebrasConference itemhttp://purl.org/coar/resource_type/c_5794uuid:46859ce8-da9a-4876-8f85-a948a2f66a3cSymplectic Elements at OxfordOpen Publishing Association2017Rennela, MStaton, SFurber, RIn this paper, W*-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W*-algebras. |
| spellingShingle | Rennela, M Staton, S Furber, R Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras |
| title | Infinite-Dimensionality in Quantum Foundations: W*-algebras as
Presheaves over Matrix Algebras |
| title_full | Infinite-Dimensionality in Quantum Foundations: W*-algebras as
Presheaves over Matrix Algebras |
| title_fullStr | Infinite-Dimensionality in Quantum Foundations: W*-algebras as
Presheaves over Matrix Algebras |
| title_full_unstemmed | Infinite-Dimensionality in Quantum Foundations: W*-algebras as
Presheaves over Matrix Algebras |
| title_short | Infinite-Dimensionality in Quantum Foundations: W*-algebras as
Presheaves over Matrix Algebras |
| title_sort | infinite dimensionality in quantum foundations w algebras as presheaves over matrix algebras |
| work_keys_str_mv | AT rennelam infinitedimensionalityinquantumfoundationswalgebrasaspresheavesovermatrixalgebras AT statons infinitedimensionalityinquantumfoundationswalgebrasaspresheavesovermatrixalgebras AT furberr infinitedimensionalityinquantumfoundationswalgebrasaspresheavesovermatrixalgebras |