Classification Of Ring And C Ast Algebra Direct Limits Of Finite Dimensional Semisimple Real Algebras

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Classification Of Ring And C Ast Algebra Direct Limits Of Finite Dimensional Semisimple Real Algebras

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Author : K. R. Goodearl
language : en
Publisher: American Mathematical Soc.
Release Date : 1987

Classification Of Ring And C Ast Algebra Direct Limits Of Finite Dimensional Semisimple Real Algebras written by K. R. Goodearl and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.

Motivated by (i) Elliott's classification of direct limits of countable sequences of finite-dimensional semisimple complex algebras and complex AF C*-algebras, (ii) classical results classifying involutions on finite-dimensional semisimple complex algebras, and (iii) the classification by Handelman and Rossmann of automorphisms of period two on the algebras appearing in (i) we study the real algebras described above and completely classify them, up to isomorphism, Morita equivalence, or stable isomorphism. We also show how our classification easily distinguishes various types of algebras within the given classes, and we partially solve the problem of determining exactly which values are attained by the invariants used in classifying these algebras.

Classification Of Ring And C

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Author : K.R. Goodearl
language : en
Publisher:
Release Date : 1987

Classification Of Ring And C written by K.R. Goodearl and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with categories.

Dimensions And C Ast Algebras

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Author : Edward G. Effros
language : en
Publisher: American Mathematical Soc.
Release Date : 1981

Dimensions And C Ast Algebras written by Edward G. Effros and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

Discusses elementary algebras and $C DEGREES*$-algebras, namely those which are direct limits of complex semi simple al

Finite Dimensional Algebras And Related Topics

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Author : V. Dlab
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-18

Finite Dimensional Algebras And Related Topics written by V. Dlab and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-18 with Mathematics categories.

Based on invited lectures at the 1992 Canadian Algebra Seminar, this volume represents an up-to-date and unique report on finite-dimensional algebras as a subject with many serious interactions with other mathematical disciplines, including algebraic groups and Lie theory, automorphic forms, sheaf theory, finite groups, and homological algebra. It will interest mathematicians and graduate students in these and related subjects as an introduction to research in an area of increasing relevance and importance.

An Invariant For Locally Finite Dimensional Semisimple Algebras

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Author : Hoan Duong
language : en
Publisher:
Release Date : 1995

An Invariant For Locally Finite Dimensional Semisimple Algebras written by Hoan Duong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Algebra categories.

The conjecture of (GH) concerning a proposed complete invariant for direct limit algebras is simplified, and we show that this invariant (essentially a diagram of ordered $K\sb0$-groups) is complete, establishing the conjecture.

On The Classification Of C Algebras Of Real Rank Zero

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Author : Hongbing Su
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

On The Classification Of C Algebras Of Real Rank Zero written by Hongbing Su and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

This work shows that K-theoretic data is a complete invariant for certain inductive limit C]*-algebras. C]*-algebras of this kind are useful in studying group actions. Su gives a K-theoretic classification of the real rank zero C]*-algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs or Hausdorff one-dimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs to be real rank zero.

Classification Of Simple C Algebras

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Author : Liangqing Li
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-01-01

Classification Of Simple C Algebras written by Liangqing Li and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.

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.

Classification Of Direct Limits Of Even Cuntz Circle Algebras

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Author : Huaxin Lin
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Classification Of Direct Limits Of Even Cuntz Circle Algebras written by Huaxin Lin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

does not need NBB copy

Guide To Reprints

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Author :
language : en
Publisher:
Release Date : 2009

Guide To Reprints written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Editions categories.

On The Classification Of Inductive Limits Of Sequences Of Semisimple Finite Dimensional Algebras

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Author : G. A. Elliott
language : en
Publisher:
Release Date : 1974

On The Classification Of Inductive Limits Of Sequences Of Semisimple Finite Dimensional Algebras written by G. A. Elliott and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.