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.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Open Publishing Association
2017-01-01
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| Series: | Electronic Proceedings in Theoretical Computer Science |
| Online Access: | http://arxiv.org/pdf/1701.00662v1 |
| _version_ | 1811213029867520000 |
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| author | Mathys Rennela Sam Staton Robert Furber |
| author_facet | Mathys Rennela Sam Staton Robert Furber |
| author_sort | Mathys Rennela |
| collection | DOAJ |
| 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 | 2024-04-12T05:39:21Z |
| format | Article |
| id | doaj.art-e3ddf24abaea40b583b2eb6f8bfc3940 |
| institution | Directory Open Access Journal |
| issn | 2075-2180 |
| language | English |
| last_indexed | 2024-04-12T05:39:21Z |
| publishDate | 2017-01-01 |
| publisher | Open Publishing Association |
| record_format | Article |
| series | Electronic Proceedings in Theoretical Computer Science |
| spelling | doaj.art-e3ddf24abaea40b583b2eb6f8bfc39402022-12-22T03:45:42ZengOpen Publishing AssociationElectronic Proceedings in Theoretical Computer Science2075-21802017-01-01236Proc. QPL 201616117310.4204/EPTCS.236.11:46Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix AlgebrasMathys Rennela0Sam Staton1Robert Furber2 Radboud University Oxford University Aalborg University 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.http://arxiv.org/pdf/1701.00662v1 |
| spellingShingle | Mathys Rennela Sam Staton Robert Furber Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras Electronic Proceedings in Theoretical Computer Science |
| 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 |
| url | http://arxiv.org/pdf/1701.00662v1 |
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