 
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 Athat 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
