Journal of Operator Theory

Volume 69, Issue 2, Spring 2013 pp. 535-543.

$K_0$ -monoid properties preserved by tracial approximation

Authors: Qingzhai Fan
Author institution: Department of Mathematics, Shanghai Maritime University, 1550 Haigang Ave. in New Harbor City, Shanghai 201306, China

Summary: We show that the following

$K_0$ -monoid properties of

$C^*$ -algebras in the class

$\Omega$ are inherited by simple unital

$C^*$ -algebras in the class

$TA\Omega$ : \nr{i} almost unperforated, \nr{ii}

$n$ -comparison, \nr{iii} cancellation property, \nr{iv} Riesz decomposition property.

DOI: http://dx.doi.org/10.7900/jot.2011feb21.1902
Keywords:

$C^*$ -algebra, tracial approximation,

$K_0$ -monoid

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