Partial Dynamical Systems, Fell Bundles and Applications

Cover......Page 1
Title page......Page 4
Contents......Page 6
Chapter 1. Introduction......Page 8
Part  1 .  Partial Actions......Page 10
Chapter 2. Partial Actions......Page 12
Chapter 3. Restriction and Globalization......Page 18
Chapter 4. Inverse Semigroups......Page 22
Chapter 5. Topological Partial Dynamical Systems......Page 26
Chapter 6. Algebraic Partial Dynamical Systems......Page 32
Chapter 7. Multipliers......Page 42
Chapter 8. Crossed Products......Page 46
Chapter 9. Partial Group Representations......Page 54
Chapter 10. Partial Group Algebras......Page 62
Chapter 11. C*-Algebraic Partial Dynamical Systems......Page 68
Chapter 12. Partial Isometries......Page 72
Chapter 13. Covariant Representations of C*-Algebraic Dynamical Systems......Page 90
Chapter 14. Partial Representations Subject to Relations......Page 98
Chapter 15. Hilbert Modules and Morita-Rieffel-Equivalence......Page 108
Part  2 .  Fell Bundles......Page 116
Chapter 16. Fell Bundles......Page 118
Chapter 17. Reduced Cross-Sectional Algebras......Page 130
Chapter 18. Fell’s Absorption Principle......Page 140
Chapter 19. Graded C*-Algebras......Page 146
Chapter 20. Amenability for Fell Bundles......Page 152
Chapter 21. Functoriality for Fell Bundles......Page 160
Chapter 22. Functoriality for Partial Actions......Page 176
Chapter 23. Ideals in Graded Algebras......Page 182
Chapter 24. Pre-Fell-Bundles......Page 188
Chapter 25. Tensor Products of Fell Bundles......Page 194
Chapter 26. Smash Product......Page 204
Chapter 27. Stable Fell Bundles as Partial Crossed Products......Page 210
Chapter 28. Globalization in the C*-Context......Page 220
Chapter 29. Topologically Free Partial Actions......Page 232
Part  3 .  Applications......Page 240
Chapter 30. Dilating Partial Representations......Page 242
Chapter 31. Semigroups of Isometries......Page 246
Chapter 32. Quasi-Lattice Ordered Groups......Page 254
Chapter 33. C*-Algebras Generated by Semigroups of Isometries......Page 266
Chapter 34. Wiener-Hopf C*-Algebras......Page 270
Chapter 35. The Toeplitz C*-Algebra of a Graph......Page 282
Chapter 36. Path Spaces......Page 292
Chapter 37. Graph C*-Algebras......Page 304
Bibliography......Page 320
Index......Page 326
Back Cover......Page 330