| Electronic ISBN: | 978-1-4704-0190-0 |
| 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 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.
-
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
-
-
RequestsReview Copy – for reviewers who would like to review an AMS bookPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
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
