Electronic ISBN:  9781470401900 
Product Code:  MEMO/127/605.E 
List Price:  $48.00 
MAA Member Price:  $43.20 
AMS Member Price:  $28.80 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 127; 1997; 123 ppMSC: Primary 46; Secondary 19; 47;
In this book, it is shown that the simple unital \(C^*\)algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over \(C(X_i)\), where \(X_i\) are arbitrary variable trees, are classified by Ktheoretical and tracial data. This result generalizes the result of George Elliott of the case of \(X_i = [0,1]\). The added generality is useful in the classification of more general inductive limit \(C^*\)algebras.
ReadershipGraduate students and research mathematicians interested in the classification problem of \(C^*\)algebras or the general theory of \(C^*\)algebras.

Table of Contents

Chapters

1 Introduction

2 Diagonalization, distinct spectrum and injectivity

3 Berg technique

4 Approximate divisibility

5 Uniqueness theorem

6 Existence theorem and classification


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 Table of Contents

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In this book, it is shown that the simple unital \(C^*\)algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over \(C(X_i)\), where \(X_i\) are arbitrary variable trees, are classified by Ktheoretical and tracial data. This result generalizes the result of George Elliott of the case of \(X_i = [0,1]\). The added generality is useful in the classification of more general inductive limit \(C^*\)algebras.
Graduate students and research mathematicians interested in the classification problem of \(C^*\)algebras or the general theory of \(C^*\)algebras.

Chapters

1 Introduction

2 Diagonalization, distinct spectrum and injectivity

3 Berg technique

4 Approximate divisibility

5 Uniqueness theorem

6 Existence theorem and classification