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 language | English |
|---|---|
| Pages (from-to) | 381-404 |
| Number of pages | 24 |
| Journal | Integral Equations and Operator Theory |
| Volume | 60 |
| Issue number | 3 |
| DOIs | |
| State | Published - Mar 2008 |
Keywords
- -algebra
- -bundle
- C
- Liminal C
- Primal ideal