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On Extensions of Stably Finite C*-Algebras (II)

Published online by Cambridge University Press:  20 November 2018

Hongliang Yao
Hongliang Yao*
Affiliation:
School of Science, Nanjing University of Science and Technology, Nanjing 210094, P. R. China e-mail: hlyao@njust.edu.cn
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Abstract

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For any ${{C}^{*}}$ -algebra $A$ with an approximate unit of projections, there is a smallest ideal $I$ of $A$ such that the quotient $A$ / $I$ is stably finite. In this paper a sufficient and necessary condition for an ideal of a ${{C}^{*}}$ -algebra with real rank zero to be this smallest ideal is obtained by using $K$ -theory

Keywords

46L0546L80extensionstably finite C*-algebraindex map
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 59 , Issue 2 , 01 June 2016 , pp. 435 - 439
Copyright
Copyright © Canadian Mathematical Society 2016

References

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