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Abstract
We establish a description of the maximal C*-algebra of quotients of a unital C*-algebra A as a direct limit of spaces of completely bounded bimodule homomorphisms from certain operator submodules of the Haagerup tensor product of A with itself labelled by the essential closed right ideals of A into A. In addition the invariance of the construction of the maximal C*-algebra of quotients under strong Morita equivalence is proved.
Original language | English |
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Pages (from-to) | 405-413 |
Number of pages | 9 |
Journal | Archiv der Mathematik |
Volume | 92 |
Issue number | 5 |
Early online date | 23 Apr 2009 |
DOIs | |
Publication status | Published - 01 May 2009 |
ASJC Scopus subject areas
- General Mathematics
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Dive into the research topics of 'The maximal C*-algebra of quotients as an operator bimodule'. Together they form a unique fingerprint.Activities
- 1 Invited talk
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C*-Algebras of Local Multipliers
Mathieu, M. (Invited speaker) & Villena, A. R. (Host)
24 Feb 2011Activity: Talk or presentation types › Invited talk