Index for C-star-subalgebras

Cover
......Page 1
TABLE OF CONTENTS
......Page 3
ABSTRACT......Page 4
INTRODUCTION......Page 7
1.2. Conditional expectations......Page 12
1.3. Morita equivalence......Page 17
1.4. Uniqueness of conditional expectations......Page 20
1.5. Index under direct sums and tensor products......Page 22
1.6. Dual conditional expectations......Page 23
1.7. Composition of conditional expectations......Page 26
1.8. Coring structure and separable extensions.......Page 27
1.9. Hattori-Stalling rank and index......Page 29
1.10. Generalized Casimir elements......Page 31
1.11. Modular automorphisms......Page 33
2.1. reduced C*-basic construction......Page 45
2.2. Unreduced C*-basic construction......Page 49
2.3. Values of index......Page 58
2.4. Index for finite dimensional C*-algebras......Page 62
2.5. Index for factors......Page 65
2.6. Some constants......Page 69
2.7. Finite index......Page 71
2.8. Index, freeness of group actions and covering spaces.......Page 74
2.9. Some other examples......Page 80
2.10. Radon Nikodym derivatives......Page 83
2.11. Reduction......Page 90
2.12. Minimizing index......Page 93
3.1. Induced and co-induced modules
......Page 97
3.2. Transfer maps in Tor and Ext.......Page 99
3.3. Transfer maps in the K-theory of C*-algebras......Page 109
REFERENCES......Page 120