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

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.

Bibliographic Details
Main Authors: Mathys Rennela, Sam Staton, Robert Furber
Format: Article
Language:English
Published: Open Publishing Association 2017-01-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1701.00662v1