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Classification of Direct Limits of Even Cuntz-circle Algebras

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Release : 1995
Genre : Mathematics
Kind : eBook
Book Rating : 889/5 ( 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: does not need NBB copy

Classification of Direct Limits of Even Cuntz-Circle Algebras

Download Classification of Direct Limits of Even Cuntz-Circle Algebras PDF Online Free

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.

Operator Algebras and Operator Theory

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Author :
Release : 1998
Genre : Mathematics
Kind : eBook
Book Rating : 936/5 ( reviews)

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Book Synopsis Operator Algebras and Operator Theory by : Liming Ge

Download or read book Operator Algebras and Operator Theory written by Liming Ge. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.

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.

Operator Algebras and Their Applications II

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Release : 1998-07-28
Genre : Operator algebras
Kind : eBook
Book Rating : 287/5 ( reviews)

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Book Synopsis Operator Algebras and Their Applications II by : Peter A. Fillmore and James A. Mingo

Download or read book Operator Algebras and Their Applications II written by Peter A. Fillmore and James A. Mingo. This book was released on 1998-07-28. Available in PDF, EPUB and Kindle. Book excerpt: The study of operator algebras, which grew out of von Neumann's work in the 1920s and 30s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality, with significant applications in other areas both within mathematics and in other fields. For this reason, and because of the existence of a strong Canadian school in the subject, the topic was a natural candidate for an emphasis year at The Fields Institute. This volume is the second selection of papers that arose from the seminars and workshops of a year-long program, Operator Algebras and Applications, that took place at The Fields Institute. Topics covered include the classification of amenable C*-algebras, lifting theorems for completely positive maps, and automorphisms of von Neumann algebras of type III.

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