Classification Of Simple C Algebras Inductive Limits Of Matrix Algebras Over Trees
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Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees
In this paper, it is shown that the simple unital C*-algebras arising as inductive limits of sequences of finite direct sums of matrix algebras over [italic capital]C([italic capital]X[subscript italic]i), where [italic capital]X[subscript italic]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 [italic capital]X[subscript italic]i = [0, 1]. The added generality is useful in the classification of more general inductive limit C*-algebras.
Classification of Simple C*-Algebras
Author: Liangqing Li
language: en
Publisher: American Mathematical Society(RI)
Release Date: 2014-09-11
In this work, 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 X [i = [0, 1]. The added generality is useful in the classification of more general inductive limit C ]*-algebras.
Classification of Simple C*-algebras
Author: Liangqing Li
language: en
Publisher: American Mathematical Soc.
Release Date: 1997-01-01
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 X[i = [0, 1]. The added generality is useful in the classification of more general inductive limit C]*-algebras.