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 15
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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