Covariant completely positive linear maps between locally C*-algebras

• Autores: María Joita
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 4, 2007, págs. 1067-1078
• Idioma: inglés
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• Resumen

  • 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.