A note on commutation relations and finite dimensional approximations

Fernando Lledó; Diego Martínez

doi:10.1016/j.exmath.2022.08.004

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arXiv · 2111.15221

A note on commutation relations and finite dimensional approximations

Fernando Lledó·Diego Martínez

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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.

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Fernando Lledó, Diego Martínez. 2021-11-30. A note on commutation relations and finite dimensional approximations. https://doi.org/10.1016/j.exmath.2022.08.004

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