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When is Every Quasi-Multiplier a Multiplier?

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 نشر من قبل Lawrence Brown
 تاريخ النشر 2018
  مجال البحث
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 تأليف Lawrence G. Brown




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We answer the title question for sigma-unital C*-algebras. The answer is that the algebra must be the direct sum of a dual C*-algebra and a C*-algebra satisfying a certain local unitality condition. We also discuss similar problems in the context of Hilbert C*-bimodules and imprimitivity bimodules and in the context of centralizers of Pedersens ideal.



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