| Electronic ISBN: | 978-1-4704-0190-0 |
| Product Code: | MEMO/127/605.E |
| 123 pp | |
| List Price: | $48.00 |
| MAA Member Price: | $43.20 |
| AMS Member Price: | $28.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 127; 1997MSC: 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 K-theoretical 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.
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Table of Contents
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Chapters
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1 Introduction
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2 Diagonalization, distinct spectrum and injectivity
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3 Berg technique
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4 Approximate divisibility
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5 Uniqueness theorem
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6 Existence theorem and classification
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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 K-theoretical 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
