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Certain Properties of K0-monoids Preserved by Tracial Approximation

Published online by Cambridge University Press:  20 November 2018

Qingzhai Fan
Qingzhai Fan*
Affiliation:
Department of Mathematics, Shanghai Maritime University, 1550 Haigang Ave. in New Harbor City, Shanghai 201306, China e-mail: qzfan@shmtu.edu.cn
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Abstract

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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 $TA\Omega :$ (1) weak comparability, (2) strictly unperforated, (3) strictly cancellative.

Keywords

46L0546L8046L35C*-algebratracial approximationK0-monoid
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 2 , 01 June 2013 , pp. 337 - 343
Copyright
Copyright © Canadian Mathematical Society 2013

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