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Memoirs of the American Mathematical Society
1997; 123 pp; softcover
List Price: US$48
Individual Members: US$28.80
Institutional Members: US$38.40
Order Code: MEMO/127/605
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.
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