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On the Classification of C]*-algebras of Real Rank Zero
Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs
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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) grap...
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.