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On the Classification of Simple Stably Projectionless $\C^*$-Algebras

  Published:2002-02-01
 Printed: Feb 2002
  • Shaloub Razak
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Abstract

It is shown that simple stably projectionless $\C^S*$-algebras which are inductive limits of certain specified building blocks with trivial $\K$-theory are classified by their cone of positive traces with distinguished subset. This is the first example of an isomorphism theorem verifying the conjecture of Elliott for a subclass of the stably projectionless algebras.
MSC Classifications: 46L35, 46L05 show english descriptions Classifications of $C^*$-algebras
General theory of $C^*$-algebras
46L35 - Classifications of $C^*$-algebras
46L05 - General theory of $C^*$-algebras
 

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