Injective cogenerators among operator bimodules,

• Autores: Dan Kucerovsky, Ping Wong Ng
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 4, 2007, págs. 1117-1130
• Idioma: inglés
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• Resumen

  • Let B be a unital, separable C*-algebra. Let Z be the centre of B, and let X be the primitive ideal space of B. Suppose that X contains infinitely many distinct points. Then the multipliers of the stabilization of B have a proper, nonregular ideal (we define this concept in the paper). Moreover, if X contains uncountably infinitely many points, then the multipliers of the stabilization have uncountably many distinct, maximal, proper, nonregular ideals. We also give results about Glimm ideals and projections inside ideals of the multipliers of the stabilization