2008 | OriginalPaper | Buchkapitel
The Local Multiplier Algebra: Blending Noncommutative Ring Theory and Functional Analysis
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We discuss some basic features of the local multiplier algebra of a
C*
-algebra, the analytic analogue of the well-known Kharchenko-Martindale symmetric ring of quotients, and also the more recent maximal
C*
-algebra of quotients, which is the analytic companion to the Utumi-Lanning maximal symmetric ring of quotients, together with some of the applications to operator theory on
C*
-algebras. The emphasis lies in illustrating the interrelations between noncommutative ring theory and functional analysis.