# The universal C*-algebra of the electromagnetic field

June 22, 2015

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 this field such as Maxwell's equations, PoincarĂ©
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 on vacuum representations, fixing the
dynamics of the field.

Keywords:

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