Resumen de Covariant completely positive linear maps between locally C*-algebras

María Joita

• 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 ? from a locally C*-algebra A to another locally C*-algebra B with respect to a locally C*-dynamical system ( G, A, a) extends to a completely positive linear map on the crossed product of G and A by a.