Memoirs of the American Mathematical Society 1997; 123 pp; softcover Volume: 127 ISBN10: 0821805967 ISBN13: 9780821805961 List Price: US$48 Individual Members: US$28.80 Institutional Members: US$38.40 Order Code: MEMO/127/605
 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 Ktheoretical 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. Table of Contents  Introduction
 Diagonalization, distinct spectrum and injectivity
 Berg technique
 Approximate divisibility
 Uniqueness theorem
 Existence theorem and classification
