| Introduction Outline Epilogue Chapter 1 Right-Hilbert Bimodules 1.1 Right-Hilbert bimodules and partial imprimitivity bimodules 1.2 Multiplier bimodules and homomorphisms 1.3 Tensor products 1.4 The C-multiplier bimodule MC(X C) 1.5 Linking algebras Chapter 2 The Categories 2.1 C*-Algebras 2.2 Group actions 2.3 Group coactions 2.4 Actions and coactions 2.5 Actions and coactions on linking algebras 2.6 Standard factorization of morphisms 2.7 Morphisms and induced representations Chapter 3 The Functors 3.1 Crossed products 3.2 Restriction and inflation 3.3 Decomposition 3.4 Induced actions 3.5 Combined functors Chapter 4 The Natural Equivalences 4.1 Statement of the main results 4.2 Some further linking algebra techniques 4.3 Green's Theorem for induced algebras 4.4 Green's Theorem for induced representations 4.5 Mansfield's Theorem Chapter 5 Applications 5.1 Equivariant triangles 5.2 Restriction and induction 5.3 Symmetric imprimitivity Appendix A. Crossed Products by Actions and Coactions A.1 Tensor products A.2 Actions and their crossed products A.3 Coactions A.4 Slice maps and nondegeneracy A.5 Covariant representations and crossed products A.6 Dual actions and decomposition coactions A.7 Normal coactions and normalizations A.8 The duality theorems of Imai-Takai and Katayama A.9 Other definitions of coactions Appendix B. The Imprimitivity Theorems of Green and Mansfield B.1 Imprimitivity theorems for actions B.2 Mansfield's imprimitivity bimodule Appendix C. Function Spaces C.1 The spaces Cc(T, X) for locally convex spaces X C.2 Functions in multiplier algebras and multiplier bimodules Appendix. Bibliography |
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