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-infinity(R), C(T-1) and C(T-2) are discussed.