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UNIVERSITY OF REGINA Department of Mathematics and Statistics
 

Summary: UNIVERSITY OF REGINA
Department of Mathematics and Statistics
Colloquium
Speaker: D. Farenick
Date: 17 February 2006
Time: 3.30 o'clock
Location: College West 307.20 (Math & Stats Lounge)
Title: Local multiplier algebras
Abstract: The multiplier algebra M(A) of a (nonunital) C
-algebra A is the maximal
unitisation of A as a C
-algebra. In the late 1970s, a number of very important results
were obtained by G.A. Elliott that characterised those separable C
-algebras A for which
every derivation of A is determined by a multiplier of A--that is, is the restriction to
A of an inner derivation of M(A).
The notion of local multiplier applies to any C
­algebra A; in this case, one considers
the multiplier algebras of essential ideals of A. Via direct limits on the partially ordered
set of essential ideals of A, the local multiplier algebra of A is obtained. This lecture will

  

Source: Argerami, Martin - Department of Mathematics and Statistics, University of Regina

 

Collections: Mathematics