Journal of Operator Theory
Volume 67, Issue 2, Spring 2012 pp. 329-334.
On extensions of stably finite C∗-algebrasAuthors: 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.
Contents Full-Text PDF