A note on commutation relations and finite dimensional approximations
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 Flner C*-algebras, a class of C*-algebras admitting a kind of finite approximations of Flner type. In particular, we show that the tracial states of the resolvent algebra are uniform locally finite dimensional.
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