LEADER 02861nam 2200565 450 001 9910788873603321 005 20170816143345.0 010 $a1-4704-0847-3 035 $a(CKB)3360000000464608 035 $a(EBL)3113961 035 $a(SSID)ssj0000888995 035 $a(PQKBManifestationID)11480052 035 $a(PQKBTitleCode)TC0000888995 035 $a(PQKBWorkID)10866252 035 $a(PQKB)11201350 035 $a(MiAaPQ)EBC3113961 035 $a(RPAM)564742 035 $a(PPN)195413075 035 $a(EXLCZ)993360000000464608 100 $a20140909h19901990 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIndex for C*-subalgebras /$fYasuo Watatani 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1990. 210 4$dİ1990 215 $a1 online resource (129 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 424 300 $a"January 1990, Volume 83, Number 424 (end of volume)." 311 $a0-8218-2487-2 320 $aIncludes bibliographical references. 327 $a""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. Hattoria???Stalling rank and index""; ""1.10. Generalized Casimir elements""; ""1.11. Modular automorphisms""; ""CHAPTER II. INDEX FOR C*a???ALGEBRAS"" 327 $a""2.1. Reduced C*a???basic construction""""2.2. Unreduced C*a???basic construction""; ""2.3. Values of index""; ""2.4. Index for finite dimensional C*a???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. Radona???Nikodym derivatives""; ""2.11. Reduction""; ""2.12. Minimizing index""; ""CHAPTER III. TRANSFER""; ""3.1. Induced and coa???induced modules""; ""3.2. Transfer maps in Tor and Ext""; ""3.3. Transfer maps in the Ka???theory of C*a???algebras"" 327 $a""REFERENCES"" 410 0$aMemoirs of the American Mathematical Society ;$vNumber 424. 606 $aC*-algebras 606 $aIndex theorems (Mathematics) 615 0$aC*-algebras. 615 0$aIndex theorems (Mathematics) 676 $a512/.55 700 $aWatatani$b Yasuo$f1953-$01486182 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910788873603321 996 $a-subalgebras$93705606 997 $aUNINA