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(T1) and C(T2) are discussed.