Dimensions and \(C^{∗}\)-Algebras
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This book is largely devoted to the most elementary algebras and \(C^*\)-algebras, namely those which are direct limits of complex semisimple algebras.
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Table of Contents
Table of Contents
Dimensions and $C^{}$-Algebras
- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface vii8 free
- Introduction 110 free
- Notations 211 free
- Chapter 1. Nonintegral dimensions and indices in analysis and geometry 312
- Chapter 2. Locally semisimple algebras and their Bratteli diagrams 615
- Chapter 3. The characterization of the dimension groups 1524
- Chapter 4. Afflne representations of simple dimension groups 2231
- Chapter 5. Finite difference equations and continued fractions 3241
- Chapter 6. Stationary systems, algebraic number theory, and Williams' problem 3544
- Chapter 7. Scales and dimensions for locally semisimple algebras 4352
- Chapter 8. The Ksub[(0)] theory of C[sup[(*)]-algebras 5261
- Chapter 9. An application of the Bott Periodicity Theorem 5968
- Chapter 10. Further developments and problems 6574
- References 6877
- More recent developments in dimension groups 7382
- References to the supplement 7786
- Index 7988
- Back Cover Back Cover190