LEADER 03017nam 2200601 450 001 9910817227003321 005 20220525004733.0 010 $a1-4704-0641-1 035 $a(CKB)3360000000464421 035 $a(EBL)3113617 035 $a(SSID)ssj0000910347 035 $a(PQKBManifestationID)11480548 035 $a(PQKBTitleCode)TC0000910347 035 $a(PQKBWorkID)10949599 035 $a(PQKB)10636130 035 $a(MiAaPQ)EBC3113617 035 $a(RPAM)3717437 035 $a(PPN)19541120X 035 $a(EXLCZ)993360000000464421 100 $a19800909h19801980 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aActions of finite groups on the hyperfinite type II[subscript 1] factor /$fVaughan F.R. Jones 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1980] 210 4$dİ1980 215 $a1 online resource (79 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 237 300 $a"Volume 28 ... end of volume." 300 $aOriginally presented as the author's thesis, University of Geneva. 311 $a0-8218-2237-3 320 $aBibliography: pages 68-70. 327 $aCONTENTS -- CHAPTER 1: THE INVARIANTS, STATEMENT OF THE MAIN THEOREM -- 1.1 Notation -- 1.2 The characteristic Invariant -- 1.3 The Algebra C[sub(u)]N -- 1.4 The Inner invariant, the main theorem -- 1.5 Equivariant s.m.u. 's and model actions -- CHAPTER 2: THE FIXED POINT ALGEBRA AND THE CROSSED PRODUCT -- 2.1 The fixed point algebra MG -- 2.2 The crossed product W*(M,G) -- CHAPTER 3: COCYCLES AND MATRIX UNITS -- 3.1 Cocycles and coboundaries -- 3.2 Three technical lemmas -- 3.3 Approximate unitary cocycles -- 3.4 Equivariant s.m.u. 's and perturbations thereof CHAPTER 4: Q-KERNELS AND ALL THAT -- 4.1 Q-Kernels -- 4.2 All that -- 4.3 A result on extensions -- CHAPTER 5: CONJUGACY OF OUTER ACTIONS -- 5.1 Central sequences and ultrafilters -- 5.2 A tensor product factorization -- 5.3 Conjugacy of outer actions -- CHAPTER 6: STABLE CONJUGACY AND THE MAIN THEOREM -- 6.1 Actions with zero characteristic invariant -- 6.2 Stable conjugacy -- 6.3 Proof of the main theorem -- CHAPTER 7: APPLICATIONS -- 7.1 Classification of injective Q-kernels -- 7.2 Weak equivalence. 327 $a""7.3 The case N central in G""""7.4 Three examples"" 410 0$aMemoirs of the American Mathematical Society ;$vno. 237. 606 $aC*-algebras 606 $aFinite groups 606 $aRepresentations of groups 615 0$aC*-algebras. 615 0$aFinite groups. 615 0$aRepresentations of groups. 676 $a510 s 676 $a512/.55 700 $aJones$b Vaughan F. R.$f1952-$01639133 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910817227003321 996 $aActions of finite groups on the hyperfinite type II factor$93981913 997 $aUNINA