C*-bundles for certain liminal C*-algebras

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Abstract

It is shown that certain liminal C*-algebras whose limit sets in their primitive ideal space are discrete can be described as algebras of continuous sections of a C*-bundle associated with them. Their multiplier algebras are also described in a similar manner. The class of C*-algebras under discussion includes all the liminal C*-algebras with Hausdorff primitive ideal spaces but also many other liminal algebras. A large sub-class of examples is examined in detail.

Original languageEnglish
Pages (from-to)381-404
Number of pages24
JournalIntegral Equations and Operator Theory
Volume60
Issue number3
DOIs
StatePublished - Mar 2008

Keywords

  • -algebra
  • -bundle
  • C
  • Liminal C
  • Primal ideal

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