# The Universal C*-Algebra of the Electromagnetic Field

@article{Buchholz2015TheUC,
title={The Universal C*-Algebra of the Electromagnetic Field},
author={Detlev Buchholz and Fabio Ciolli and Giuseppe Ruzzi and Ezio Vasselli},
journal={Letters in Mathematical Physics},
year={2015},
volume={106},
pages={269-285}
}
• Published 22 June 2015
• Mathematics
• Letters in Mathematical Physics
A universal C*-algebra of the electromagnetic field is constructed. It is represented in any quantum field theory which incorporates electromagnetism and expresses basic features of the field such as Maxwell’s equations, Poincaré covariance and Einstein causality. Moreover, topological properties of the field resulting from Maxwell’s equations are encoded in the algebra, leading to commutation relations with values in its center. The representation theory of the algebra is discussed with focus…
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