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Journal of Operator Theory

Volume 67, Issue 2, Spring 2012  pp. 329-334.

On extensions of stably finite C-algebras

Authors Hongliang Yao
Author institution: School of Science, Nanjing University of Science and Technology, Nanjing 210094, P. R. China

Summary:  In this paper, we prove that for any C-algebra A with an approximate unit of projections, there is a smallest ideal I of A, in which quotient A/I is stably finite. We give a sufficient condition and a necessary condition on which I is the smallest ideal in this case for A by K-theory.


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