Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras

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.

Bibliographic Details
Main Authors: Mathys Rennela, Sam Staton, Robert Furber
Format: Article
Language:English
Published: Open Publishing Association 2017-01-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1701.00662v1
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spelling doaj-e3ddf24abaea40b583b2eb6f8bfc39402020-11-24T23:47:19ZengOpen 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
collection DOAJ
language English
format Article
sources DOAJ
author Mathys Rennela
Sam Staton
Robert Furber
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
author_facet Mathys Rennela
Sam Staton
Robert Furber
author_sort Mathys Rennela
title 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_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_sort infinite-dimensionality in quantum foundations: w*-algebras as presheaves over matrix algebras
publisher Open Publishing Association
series Electronic Proceedings in Theoretical Computer Science
issn 2075-2180
publishDate 2017-01-01
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.
url http://arxiv.org/pdf/1701.00662v1
work_keys_str_mv AT mathysrennela infinitedimensionalityinquantumfoundationswalgebrasaspresheavesovermatrixalgebras
AT samstaton infinitedimensionalityinquantumfoundationswalgebrasaspresheavesovermatrixalgebras
AT robertfurber infinitedimensionalityinquantumfoundationswalgebrasaspresheavesovermatrixalgebras
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