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Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras

Electronic Proceedings in Theoretical Computer Science, EPTCS (2017) 236 161-173
DOI: 10.4204/EPTCS.236.11
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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.

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Rennela, M., Staton, S., & Furber, R. (2017). Infinite-dimensionality in quantum foundations: W∗-algebras as presheaves over matrix algebras. In Electronic Proceedings in Theoretical Computer Science, EPTCS (Vol. 236, pp. 161–173). Open Publishing Association. https://doi.org/10.4204/EPTCS.236.11

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