Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
arXiv:1701.00662 · doi: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.
In Proceedings QPL 2016, arXiv:1701.00242