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Abstract
A new C*-enlargement of a C*-algebra A nested between the local multiplier algebra of A and its injective envelope is introduced. Various aspects of this maximal C*-algebra of quotients are studied, notably in the setting of AW*-algebras. As a by-product we obtain a new example of a type I C*-algebra such that its second iterated local multiplier algebra is strictly larger than its local multiplier algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 827-872 |
| Number of pages | 46 |
| Journal | Houston Journal of Mathematics |
| Volume | 34 |
| Issue number | 3 |
| Publication status | Published - 2008 |
ASJC Scopus subject areas
- General Mathematics
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University of Southern Denmark
Mathieu, M. (Visiting researcher) & Ortega, E. (Host)
30 Mar 2008 → 06 Apr 2008Activity: Visiting an external institution types › Visiting an external academic institution
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Pere Ara
Mathieu, M. (Host)
17 Jul 2005 → 31 Jul 2005Activity: Hosting a visitor types › Hosting an academic visitor