Two-Parameter σ-C∗-Dynamical Systems and Application

Let a be a c∗-algebra and σ be a bounded linear ∗-endomorphism on a. introducing the notions of ∗-σ-derivations and two-parameter σ-c∗-dynamical sytems, we correspond to each so-calledtwo-parameter σ-c∗-dynamical system a pair of σ-derivations, named as its infinitesimal generator. using the computation formula for σderivations, we deal with the converse under mild conditions. finally,as an application, we characterize each so-called two parameter σ-c∗-dynamical system on the concrete c∗-algebra a := b(h)×b(h), where h is a hilbert space and σ is the linear ∗-endomorphism σ(s, t) =(0, t).