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

Abstract:
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.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.4204/EPTCS.236.11

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Department:
Oxford, MPLS, Computer Science
Role:
Author
Publisher:
Open Publishing Association Publisher's website
Volume:
236
Pages:
161-173
Publication date:
2017-01-01
Acceptance date:
2016-10-20
DOI:
ISSN:
2075-2180
Pubs id:
pubs:670922
URN:
uri:46859ce8-da9a-4876-8f85-a948a2f66a3c
UUID:
uuid:46859ce8-da9a-4876-8f85-a948a2f66a3c
Local pid:
pubs:670922

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