  We consider dressed 1-electron states in a translation-invariant model of
non-relativistic QED. To start with a well-defined model, the interaction
Hamiltonian is cutoff at very large photon energies (ultraviolet cutoff) and
regularized at very small photon energies (infrared regularization). The
infrared regularization is then removed, and the representations of the
canonical commutation relations of the electromagnetic field operators
determined by the dressed 1-electron states are studied using operator-algebra
methods. A key ingredient in our analysis is a bound on the renormalized
electron mass uniform in the infrared regularization. Our results have
important applications in the scattering theory for infraparticles.
