On the Classification of Simple Stably Projectionless C*-Algebras

Razak, Shaloub

Canadian journal of mathematics, Tome 54 (2002) no. 1, pp. 138-224

Résumé

It is shown that simple stably projectionless ${{\text{C}}^{*}}$ -algebras which are inductive limits of certain specified building blocks with trivial $\text{K}$ -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.

Détail

DOI : 10.4153/CJM-2002-006-7

Mots-clés : 46L35, 46L05

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