InfiniteDimensionality in Quantum Foundations: W*algebras as Presheaves over Matrix Algebras
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.
 Publication:

arXiv eprints
 Pub Date:
 January 2017
 DOI:
 10.48550/arXiv.1701.00662
 arXiv:
 arXiv:1701.00662
 Bibcode:
 2017arXiv170100662R
 Keywords:

 Mathematics  Operator Algebras;
 Computer Science  Logic in Computer Science;
 Quantum Physics;
 F.4.0;
 F.3.2
 EPrint:
 In Proceedings QPL 2016, arXiv:1701.00242