eBook ISBN: | 978-1-4704-0126-9 |
Product Code: | MEMO/114/547.E |
List Price: | $41.00 |
MAA Member Price: | $36.90 |
AMS Member Price: | $24.60 |
eBook ISBN: | 978-1-4704-0126-9 |
Product Code: | MEMO/114/547.E |
List Price: | $41.00 |
MAA Member Price: | $36.90 |
AMS Member Price: | $24.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 114; 1995; 83 ppMSC: Primary 46
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.
ReadershipOperator algebraists and functional analysts.
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Table of Contents
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Chapters
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1. Introduction
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2. Small spectrum variation
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3. Perturbation
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4. Approximate intertwinings
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5. Asymptotic characterization
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6. Existence
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7. Uniqueness
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8. Classification
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9. Applications
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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) graphs to be real rank zero.
Operator algebraists and functional analysts.
-
Chapters
-
1. Introduction
-
2. Small spectrum variation
-
3. Perturbation
-
4. Approximate intertwinings
-
5. Asymptotic characterization
-
6. Existence
-
7. Uniqueness
-
8. Classification
-
9. Applications