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On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs

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Release : 1995
Genre : Mathematics
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Book Rating : 077/5 ( reviews)

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Book Synopsis On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs by : Hongbing Su

Download or read book On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs written by Hongbing Su. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: In this paper a [italic capital]K-theoretic classification is given of the real rank zero [italic capital]C*-algebras that can be expressed as inductive limits of sequences of finite direct sums of matrix algebras over finite connected graphs (possibly with multiple vertices). The special case that the graphs are circles is due to Elliott.

On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs

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Release : 1992
Genre :
Kind : eBook
Book Rating : 506/5 ( reviews)

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Book Synopsis On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs by : Hongbing Su

Download or read book On the Classification of C*-algebras of Real Rank Zero [microform] : Inductive Limits of Matrix Algebras Over Non-Hausdorff Graphs written by Hongbing Su. This book was released on 1992. Available in PDF, EPUB and Kindle. Book excerpt:

Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees

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Release : 1997
Genre : Mathematics
Kind : eBook
Book Rating : 967/5 ( reviews)

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Book Synopsis Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees by : Liangqing Li

Download or read book Classification of Simple $C$*-algebras: Inductive Limits of Matrix Algebras over Trees written by Liangqing Li. This book was released on 1997. Available in PDF, EPUB and Kindle. Book excerpt: 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.

On the Classicifcation on C*-algebras of Real Rank Zero

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Author :
Release : 1995
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis On the Classicifcation on C*-algebras of Real Rank Zero by : Hongbing Su

Download or read book On the Classicifcation on C*-algebras of Real Rank Zero written by Hongbing Su. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt:

Classification of Direct Limits of Even Cuntz-Circle Algebras

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Author :
Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 030/5 ( reviews)

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Book Synopsis Classification of Direct Limits of Even Cuntz-Circle Algebras by : Huaxin Lin

Download or read book Classification of Direct Limits of Even Cuntz-Circle Algebras written by Huaxin Lin. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: We prove a classification theorem for purely infinite C∗-algebras that is strong enough to show that the tensor products of two different irrational rotation algebras with the same even Cuntz algebra are isomorphic.

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