The framework of dynamical C*-algebras for scalar fields in Minkowski space, based on local scattering operators, is extended to theories with locally perturbed kinetic terms. These terms encode information about the underlying spacetime metric, so the causality relations between the scattering operators have to be adjusted accordingly. It is shown that the extended algebra describes scalar quantum fields, propagating in locally deformed Minkowski spaces. Concrete representations of the abstract scattering operators, inducing this motion, are known to exist on Fock space. The proof that these representers also satisfy the generalized causality relations requires, however, novel arguments of a cohomological nature. They imply that Fock space representations of the extended dynamical C*-algebra exist, involving linear as well as kinetic and pointlike quadratic perturbations of the field.

基于局部散射算子的Minkowski空间中标量场的动态C *代数框架扩展到具有局部扰动动力学项的理论。这些术语编码有关基础时空度量的信息，因此必须相应地调整散射算子之间的因果关系。结果表明，扩展代数描述了在局部变形的Minkowski空间中传播的标量量子场。引起该运动的抽象散射算子的具体表示形式已知存在于Fock空间中。这些代表也满足广义因果关系的证明需要同调性质的新颖论证。他们暗示存在扩展动态C *-代数的Fock空间表示，