Description

Book Synopsis
The nature of $C^*$-algebras is such that one cannot study perturbation without also studying the theory of lifting and the theory of extensions. This book focuses on the approximation questions involving representations of relations in matrices and $C^*$-algebras.

Table of Contents
Introduction Part I. Rings and $C^*$-algebras: $\sigma$-unital $C*$-algebras Order and factoring Generators and relations Basic perturbation Push-outs and pull-backs Matrix algebras Multipliers Part II. Lifting: Easy lifting Multiplier algebras Projectivity Properties of projective $C^*$-algebras Heavy lifting Part III. Perturbing: Inductive limits Stable relations Applications Extensions Part IV. Almost Normal: Normals, limits Almost normal elements Almost normal matrices Bibliography Index.

Lifting Solutions to Perturbing Problems in C8727Algebras

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    A Hardback by American Mathem American Mathem

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      View other formats and editions of Lifting Solutions to Perturbing Problems in C8727Algebras by American Mathem American Mathem

      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 30/11/1996
      ISBN13: 9780821806029, 978-0821806029
      ISBN10:

      Description

      Book Synopsis
      The nature of $C^*$-algebras is such that one cannot study perturbation without also studying the theory of lifting and the theory of extensions. This book focuses on the approximation questions involving representations of relations in matrices and $C^*$-algebras.

      Table of Contents
      Introduction Part I. Rings and $C^*$-algebras: $\sigma$-unital $C*$-algebras Order and factoring Generators and relations Basic perturbation Push-outs and pull-backs Matrix algebras Multipliers Part II. Lifting: Easy lifting Multiplier algebras Projectivity Properties of projective $C^*$-algebras Heavy lifting Part III. Perturbing: Inductive limits Stable relations Applications Extensions Part IV. Almost Normal: Normals, limits Almost normal elements Almost normal matrices Bibliography Index.

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