Franklin

Index for C*-subalgebras / Yasuo Watatani.

Author/Creator:
Watatani, Yasuo, 1953- author.
Publication:
Providence, Rhode Island : American Mathematical Society, 1990.
Format/Description:
Book
1 online resource (129 p.)
Series:
Memoirs of the American Mathematical Society ; Number 424.
Memoirs of the American Mathematical Society, 0065-9266 ; Number 424
Status/Location:
Loading...

Options
Location Notes Your Loan Policy

Details

Subjects:
C*-algebras.
Index theorems (Mathematics).
Form/Genre:
Electronic books.
Language:
English
Contents:
""TABLE OF CONTENTS""; ""INTRODUCTION""; ""CHAPTER I. PURELY ALGEBRAIC PRELIMINARIES""; ""1.1. Assumptions""; ""1.2. Conditional expectations""; ""1.3. Morita equivalence""; ""1.4. Uniqueness of conditional expectations""; ""1.5. Index under direct sums and tensor products""; ""1.6. Dual conditional expectations""; ""1.7. Composition of conditional expectations""; ""1.8. Coring structure and separable extensions""; ""1.9. Hattori�Stalling rank and index""; ""1.10. Generalized Casimir elements""; ""1.11. Modular automorphisms""; ""CHAPTER II. INDEX FOR C*�ALGEBRAS""
""2.1. Reduced C*�basic construction""""2.2. Unreduced C*�basic construction""; ""2.3. Values of index""; ""2.4. Index for finite dimensional C*�algebras""; ""2.5. Index for factors""; ""2.6. Some constants""; ""2.7. Finite index""; ""2.8. Index, freeness of group actions and covering spaces""; ""2.9. Some other examples""; ""2.10. Radon�Nikodym derivatives""; ""2.11. Reduction""; ""2.12. Minimizing index""; ""CHAPTER III. TRANSFER""; ""3.1. Induced and co�induced modules""; ""3.2. Transfer maps in Tor and Ext""; ""3.3. Transfer maps in the K�theory of C*�algebras""
""REFERENCES""
Notes:
"January 1990, Volume 83, Number 424 (end of volume)."
Includes bibliographical references.
Description based on print version record.
ISBN:
1-4704-0847-3