Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
Operator Algebras
2017-01-04 v1 Logic in Computer Science
Quantum Physics
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.
Cite
@article{arxiv.1701.00662,
title = {Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras},
author = {Mathys Rennela and Sam Staton and Robert Furber},
journal= {arXiv preprint arXiv:1701.00662},
year = {2017}
}
Comments
In Proceedings QPL 2016, arXiv:1701.00242