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.

Podrobná bibliografie
Hlavní autoři: Rennela, M, Staton, S, Furber, R
Médium: Conference item
Vydáno: Open Publishing Association 2017
Popis
Shrnutí: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.