Abstract
Considers the c*-algebra of the canonical commutation relations (CCR), acted on by a group G of one-particle symmetry transformations V. A symplectic operator T defines a representation pi T= pi F omicron T where pi F is the Fock representation. The automorphisms of the CCR algebra that are induced by G are shown to be continuously implemented in pi T if and only if A-V(g)AV*(g) is a continuous Hilbert-Schmidt 1-cocycle of G; here, A is related to T by T=exp A, A being a suitable bounded, antilinear self adjoint operator. Some new examples of fully Poincare-covariant representations of massless fields in 1+1 dimensions are constructed.
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