**Memoirs of the American Mathematical Society**

1997;
123 pp;
Softcover

MSC: Primary 46;
Secondary 19; 47

Print ISBN: 978-0-8218-0596-1

Product Code: MEMO/127/605

List Price: $48.00

Individual Member Price: $28.80

**Electronic ISBN: 978-1-4704-0190-0
Product Code: MEMO/127/605.E**

List Price: $48.00

Individual Member Price: $28.80

# Classification of Simple \(C\)*-algebras: Inductive Limits of Matrix Algebras over Trees

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*Liangqing Li*

In this book, it is shown that the simple unital \(C^*\)-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over \(C(X_i)\), where \(X_i\) are arbitrary variable trees, are classified by K-theoretical and tracial data. This result generalizes the result of George Elliott of the case of \(X_i = [0,1]\). The added generality is useful in the classification of more general inductive limit \(C^*\)-algebras.

#### Readership

Graduate students and research mathematicians interested in the classification problem of \(C^*\)-algebras or the general theory of \(C^*\)-algebras.