Memoirs of the American Mathematical Society 1995; 83 pp; softcover Volume: 114 ISBN10: 0821826077 ISBN13: 9780821826072 List Price: US$39 Individual Members: US$23.40 Institutional Members: US$31.20 Order Code: MEMO/114/547
 This work shows that \(K\)theoretic data is a complete invariant for certain inductive limit \(C^*\)algebras. \(C^*\)algebras of this kind are useful in studying group actions. Su gives a \(K\)theoretic classification of the real rank zero \(C^*\)algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly nonHausdorff) graphs or Hausdorff onedimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly nonHausdorff) graphs to be real rank zero. Readership Operator algebraists and functional analysts. Table of Contents  Introduction
 Small spectrum variation
 Perturbation
 Approximate intertwining
 Asymptotic characterization
 Existence
 Uniqueness
 Classification
 Applications
 References
