$C^*$-Algebra Extensions Of $C(X)$

This work shows that the Weyl-von Neumann theorem for unitaries holds for *s -unital AF -algebras and their multiplier algebras. Lin studies E(X,A) , the quotient of Ext [s ]eu (C(X),A) by a special class of trivial extension, dubbed totally trivial extensions.... FROM LONG DESCRIPTION
'May 1995, volume 115, number 550 (second of 5 numbers).'

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This work shows that the Weyl-von Neumann theorem for unitaries holds for *s-unital AF-algebras and their multiplier algebras. Lin studies E(X,A) , the quotient of Ext[s]eu(C(X),A) by a special class of trivial extension, dubbed totally trivial extensions. This leads to a BDF-type classification for extensions of C(X) by a *s-unital purely infinite simple C] *-algebra with trivial K[1-group. Lin also shows that, when X is a compact subset of the plane, every extension of C(X) by a finite matroid C]*-algebra is totally trivial. Classification of these extensions for nice spaces is given, as are some other versions of the Weyl-von Neumann-Berg theorem.