Cones arising from C*-subalgebras and complete positivity

• Autores: Florin Pop, Roger R. Smith
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 1, 2008, págs. 121-128
• Idioma: inglés
• DOI: 10.1017/s0305004108001217
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• Resumen

  • Let B A be an inclusion of C*-algebras. Then B is said to norm A if, for each X (A), In this paper we introduce and study the cones These are shown to coincide with the standard positive cones precisely when B norms A, and we apply this to obtain automatic complete positivity of certain positive maps between C*-algebras