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Dimensions and $C^\ast$-Algebras

A co-publication of the AMS and CBMS
Available Formats:
Softcover ISBN: 978-0-8218-1697-4
Product Code: CBMS/46
List Price: $23.00 Individual Price:$18.40
Electronic ISBN: 978-1-4704-2406-0
Product Code: CBMS/46.E
List Price: $21.00 Individual Price:$16.80
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List Price: $34.50 Click above image for expanded view Dimensions and$C^\ast$-Algebras A co-publication of the AMS and CBMS Available Formats:  Softcover ISBN: 978-0-8218-1697-4 Product Code: CBMS/46  List Price:$23.00 Individual Price: $18.40  Electronic ISBN: 978-1-4704-2406-0 Product Code: CBMS/46.E  List Price:$21.00 Individual Price: $16.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$34.50
• Book Details

CBMS Regional Conference Series in Mathematics
Volume: 461981; 80 pp
MSC: Primary 46;

This book is largely devoted to the most elementary algebras and $C^*$-algebras, namely those which are direct limits of complex semisimple algebras.

• Chapters
• 1. Introduction
• 2. Notations
• Chapter 1. Nonintegral dimensions and indices in analysis and geometry
• Chapter 2. Locally semisimple algebras and their Bratteli diagrams
• Chapter 3. The characterization of the dimension groups
• Chapter 4. Affine representations of simple dimension groups
• Chapter 5. Finite difference equations and continued fractions
• Chapter 6. Stationary systems, algebraic number theory, and Williams’ problem
• Chapter 7. Scales and dimensions for locally semisimple algebras
• Chapter 8. The $K_0$ theory of $C^*$-algebras
• Chapter 9. An application of the Bott Periodicity Theorem
• Chapter 10. Further developments and problems
• Requests

Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Volume: 461981; 80 pp
MSC: Primary 46;

This book is largely devoted to the most elementary algebras and $C^*$-algebras, namely those which are direct limits of complex semisimple algebras.

• Chapters
• 1. Introduction
• 2. Notations
• Chapter 1. Nonintegral dimensions and indices in analysis and geometry
• Chapter 2. Locally semisimple algebras and their Bratteli diagrams
• Chapter 3. The characterization of the dimension groups
• Chapter 4. Affine representations of simple dimension groups
• Chapter 5. Finite difference equations and continued fractions
• Chapter 6. Stationary systems, algebraic number theory, and Williams’ problem
• Chapter 7. Scales and dimensions for locally semisimple algebras
• Chapter 8. The $K_0$ theory of $C^*$-algebras
• Chapter 9. An application of the Bott Periodicity Theorem
• Chapter 10. Further developments and problems
Review Copy – for reviewers who would like to review an AMS book
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.