A note on commutation relations and finite dimensional approximations
Operator Algebras
2024-01-30 v2 Mathematical Physics
math.MP
Abstract
In this article we show that the main C*-algebras describing the canonical commutation relations of quantum physics, i.e., the Weyl and resolvent algebras, are in the class of F{\o}lner C*-algebras, a class of C*-algebras admitting a kind of finite approximations of F{\o}lner type. In particular, we show that the tracial states of the resolvent algebra are uniform locally finite dimensional.
Cite
@article{arxiv.2111.15221,
title = {A note on commutation relations and finite dimensional approximations},
author = {Fernando Lledó and Diego Martínez},
journal= {arXiv preprint arXiv:2111.15221},
year = {2024}
}
Comments
11 pages, minor revision, accepted for publication in Expo. Math