- ArXiv.org Journal
- November 2021
Digital Object Identifier (DOI)
International Standard Serial Number (ISSN)
- 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 Følner C*-algebras, a class of C*-algebras admitting a kind of finite approximations of Følner type. In particular, we show that the tracial states of the resolvent algebra are uniform locally finite dimensional.
- canonical commutation relations; c*-algebras; følner approximations; amenable trace