Classification of simple C[*]-algebras : inductive limits of matrix algebras over trees
著者
書誌事項
Classification of simple C[*]-algebras : inductive limits of matrix algebras over trees
（Memoirs of the American Mathematical Society, no. 605）
American Mathematical Society, 1997
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Classification of simple C*-algebras
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注記
"May 1997, volume 127, number 605 (first of 4 numbers)."--T.p
Includes bibliography (p. 121-123)
内容説明・目次
内容説明
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.
目次
Introduction Diagonalization, distinct spectrum and injectivity Berg technique Approximate divisibility Uniqueness theorem Existence theorem and classification.
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