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On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs
 
On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs
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
On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs
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On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1141995; 83 pp
    MSC: 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.

    Readership

    Operator 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1141995; 83 pp
MSC: 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.

Readership

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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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