Infinite-Dimensionality 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 e-prints
- 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
- E-Print:
- In Proceedings QPL 2016, arXiv:1701.00242