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Memoirs of the American Mathematical Society
1995; 83 pp; softcover
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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 non-Hausdorff) graphs or Hausdorff one-dimensional 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 non-Hausdorff) graphs to be real rank zero.
Operator algebraists and functional analysts.
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