Contents
Preface i x
Chapter 1. Inde x Theor y 1
Analysis o f Dirac Operators 1
Index theory 4
Index theor y an d coarsenin g 6
Chapter 2 . Coars e Geometr y 9
The coars e categor y 9
Coarse algebrai c topology 13
Chapter 3 . C*-Algebra s 17
The coars e index 2 0
Relative inde x theory 2 2
Appendix: ÜT-theor y for C*-algebra s 2 4
Chapter 4 . A n exampl e o f a higher inde x theorem 2 7
Odd Operator s 2 7
Partitions o f a noncompact manifol d 2 8
The if-theor y o f C*(|R|). 3 2
Chapter 5 . Assembl y 3 5
Kasparov's if-homolog y 3 5
The assembl y ma p 3 8
Equivariant assembl y 4 1
Chapter 6 . Surger y 4 5
Manifold structure s 4 5
Novikov's conjectur e 5 1
Bounded surger y 5 3
Positive scala r curvatur e 5 4
Chapter 7 . Mappin g surger y t o analysi s 5 7
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