Contents Preface vi i Introduction 1 Notations 2 Chapter 1. Nonintegra l dimensions and indices in analysis and geometry 3 Chapter 2. Locall y semisimple algebras and their Bratteli diagrams 6 Chapter 3. Th e characterization of the dimension groups 1 5 Chapter 4. Affln e representation s of simple dimension groups 2 2 Chapter 5. Finit e difference equation s and continued fraction s 3 2 Chapter 6. Stationar y systems, algebraic number theory, and Williams' problem 3 5 Chapter 7. Scale s and dimensions for locally semisimple algebras 4 3 Chapter 8. Th e K0 theor y of C*-algebras 5 2 Chapter 9. A n application of the Bott Periodicity Theorem 5 9 Chapter 10. Furthe r developments and problems 6 5 References 6 8 More recent developments in dimension group s by David Handelman 7 3 References to the supplement 7 7 Index 7 9
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