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The multiplier algebra of a nuclear quasidiagonal C*‐algebra
Author(s) -
Ng P. W.
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn062
Subject(s) - mathematics , unital , separable space , characterization (materials science) , simple (philosophy) , multiplier (economics) , pure mathematics , algebra over a field , dual (grammatical number) , property (philosophy) , mathematical analysis , art , philosophy , materials science , literature , epistemology , economics , macroeconomics , nanotechnology
If is a unital separable simple nuclear quasidiagonal C*‐algebra, then ℳ( ⊗ ) has the AF‐property in the strict topology; that is, there is a unital AF‐subalgebra ⊆ ℳ( ⊗ ) such that is strictly dense in ℳ( ⊗ ). We also give a multiplier algebra characterization of nuclearity and quasidiagonality for a unital separable simple C*‐algebra.