An example of a braided category of C^*-algebras^*

A braided category of C^*-algebras is constructed. Its objects are C^*-algebras endowed with an action of the group ℝ, its morphisms are C^*-algebra morphisms intertwining the action of ℝ, the braided tensor product of its two objects essentially depends on the action of ℝ on the considered C^*-algebras. Braided tensor products of any object with C∞(ℝ), C(double-struck T sign¹) and C(double-struck T sign²) are discussed.