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.
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Lazar, A.J. C*-Bundles for Certain Liminal C*-Algebras. Integr. equ. oper. theory 60, 381–404 (2008). https://doi.org/10.1007/s00020-008-1563-z
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DOI: https://doi.org/10.1007/s00020-008-1563-z