Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees
Author: Liangqing Li
Publisher: American Mathematical Soc.
Published: 1997
Total Pages: 138
ISBN-13: 0821805967
DOWNLOAD EBOOK →In this paper, it is shown that the simple unital C*-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over [italic capital]C([italic capital]X[subscript italic]i), where [italic capital]X[subscript italic]i are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of [italic capital]X[subscript italic]i = [0, 1]. The added generality is useful in the classification of more general inductive limit C*-algebras.