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On the Classification of Simple Stably Projectionless C*-Algebras

Published online by Cambridge University Press:  20 November 2018

Shaloub Razak
Shaloub Razak*
Affiliation:
The Fields Institute for Research in Mathematical Sciences 222 College St. Toronto, Ontario M5T 3J1, email: razak@math.utoronto.ca
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Abstract

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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.

Keywords

46L3546L05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 54 , Issue 1 , 01 February 2002 , pp. 138 - 224
Copyright
Copyright © Canadian Mathematical Society 2002

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