Contents
Preface vi i
Introduction 1
Chapter 1. Directe d graph s an d Cuntz-Kriege r familie s 5
Chapter 2 . Uniquenes s theorem s fo r grap h algebra s 15
Chapter 3 . Proof s o f th e uniquenes s theorem s 2 5
Chapter 4 . Simplicit y an d idea l structur e 3 3
Chapter 5 . Arbitrar y graph s 4
Chapter 6 . Application s t o non-abelia n dualit y 5 1
Chapter 7 . /^-theor y o f graph algebra s 6 1
Chapter 8 . Cuntz-Pimsne r algebra s 7 1
Chapter 9 . Topologica l graph s 7 9
Chapter 10. Higher-ran k graph s 8 9
Appendix A . Backgroun d materia l 9 9
A.l. Projection s an d partia l isometrie s 9 9
A.2. Matri x algebra s an d direc t sum s 102
Bibliography 105
Index 1
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