Completely positive maps into corona algebras

• Autores: Dan Kucerovsky, Ping Wong Ng
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 147, Nº 2, 2009, págs. 323-337
• Idioma: inglés
• DOI: 10.1017/s0305004109002539
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• Resumen

  • We prove a decomposition theorem similar to the well-known result of Voiculescu's: namely that completely positive maps A ? (B)/B factor through a given homomorphism ?: A ?(B)/B when the homomorphism ? has a certain infiniteness property.

    The algebra B is only assumed to be separable and nonunital; in particular, it is not assumed to be stable. The C*-algebra A is assumed to be separable, unital and nuclear.