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

Mathys Rennela, Sam Staton, Robert Furber

Type: Article

Publication Date: 2017-01-01

Citations: 7

DOI: https://doi.org/10.4204/eptcs.236.11

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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