Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees
Download or Read eBook Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees PDF written by Liangqing Li and published by American Mathematical Soc.. This book was released on 1997 with total page 138 pages. Available in PDF, EPUB and Kindle.
| Author | : Liangqing Li |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 138 |
| Release | : 1997 |
| ISBN-10 | : 9780821805961 |
| ISBN-13 | : 0821805967 |
| Rating | : 4/5 (61 Downloads) |
Book Synopsis Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees by : Liangqing Li
Book excerpt: 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.
