eBook ISBN:  9781470401269 
Product Code:  MEMO/114/547.E 
List Price:  $41.00 
MAA Member Price:  $36.90 
AMS Member Price:  $24.60 
eBook ISBN:  9781470401269 
Product Code:  MEMO/114/547.E 
List Price:  $41.00 
MAA Member Price:  $36.90 
AMS Member Price:  $24.60 

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 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.
ReadershipOperator algebraists and functional analysts.

Table of Contents

Chapters

1. Introduction

2. Small spectrum variation

3. Perturbation

4. Approximate intertwinings

5. Asymptotic characterization

6. Existence

7. Uniqueness

8. Classification

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 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.
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