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

Mathys Rennela
(Radboud University)
Sam Staton
(Oxford University)
Robert Furber
(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.

In Ross Duncan and Chris Heunen: Proceedings 13th International Conference on Quantum Physics and Logic (QPL 2016), Glasgow, Scotland, 6-10 June 2016, Electronic Proceedings in Theoretical Computer Science 236, pp. 161–173.
Published: 1st January 2017.

ArXived at: http://dx.doi.org/10.4204/EPTCS.236.11 bibtex PDF
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