AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Dimensions and $C^{∗}$-Algebras

About this Title

Edward G. Effros

Publication: CBMS Regional Conference Series in Mathematics
Publication Year: 1981; Volume 46
ISBNs: 978-0-8218-1697-4 (print); 978-1-4704-2406-0 (online)
DOI: https://doi.org/10.1090/cbms/046
MathSciNet review: MR623762
MSC: Primary 46Lxx; Secondary 46M20, 58G12

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

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