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On the Classification of Simple Stably Projectionless $\C^*$-Algebras |
Canad. J. Math. 54(2002), 138-224
Published:2002-02-01
Printed: Feb 2002
Printed: Feb 2002
- Shaloub Razak
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 - Classifications of $C^*$-algebras 46L05 - General theory of $C^*$-algebras |