Covariant completely positive linear maps between locally C*-algebras

الأصل · EN

We prove a covariant version of the KSGNS (Kasparov, Stinespring, Gel'fand,Naimark,Segal) construction for completely positive linear maps between locally C*-algebras. As an application of this construction, we show that a covariant completely positive linear map ρ from a locally C*-algebra A to another locally C* -algebra B with respect to a locally C*-dynamical system (G,A,α) extends to a completely positive linear map on the crossed product A×αG.