02861nam 2200565 450 991078887360332120170816143345.01-4704-0847-3(CKB)3360000000464608(EBL)3113961(SSID)ssj0000888995(PQKBManifestationID)11480052(PQKBTitleCode)TC0000888995(PQKBWorkID)10866252(PQKB)11201350(MiAaPQ)EBC3113961(RPAM)564742(PPN)195413075(EXLCZ)99336000000046460820140909h19901990 uy 0engur|n|---|||||txtccrIndex for C*-subalgebras /Yasuo WatataniProvidence, Rhode Island :American Mathematical Society,1990.©19901 online resource (129 p.)Memoirs of the American Mathematical Society,0065-9266 ;Number 424"January 1990, Volume 83, Number 424 (end of volume)."0-8218-2487-2 Includes bibliographical references.""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. Hattoriâ€?Stalling rank and index""; ""1.10. Generalized Casimir elements""; ""1.11. Modular automorphisms""; ""CHAPTER II. INDEX FOR C*â€?ALGEBRAS""""2.1. Reduced C*â€?basic construction""""2.2. Unreduced C*â€?basic construction""; ""2.3. Values of index""; ""2.4. Index for finite dimensional C*â€?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. Radonâ€?Nikodym derivatives""; ""2.11. Reduction""; ""2.12. Minimizing index""; ""CHAPTER III. TRANSFER""; ""3.1. Induced and coâ€?induced modules""; ""3.2. Transfer maps in Tor and Ext""; ""3.3. Transfer maps in the Kâ€?theory of C*â€?algebras""""REFERENCES""Memoirs of the American Mathematical Society ;Number 424.C*-algebrasIndex theorems (Mathematics)C*-algebras.Index theorems (Mathematics)512/.55Watatani Yasuo1953-1486182MiAaPQMiAaPQMiAaPQBOOK9910788873603321-subalgebras3705606UNINA