03017nam 2200601 450 991078889490332120220525004733.01-4704-0641-1(CKB)3360000000464421(EBL)3113617(SSID)ssj0000910347(PQKBManifestationID)11480548(PQKBTitleCode)TC0000910347(PQKBWorkID)10949599(PQKB)10636130(MiAaPQ)EBC3113617(RPAM)3717437(PPN)19541120X(EXLCZ)99336000000046442119800909h19801980 uy| 0engur|n|---|||||txtccrActions of finite groups on the hyperfinite type II[subscript 1] factor /Vaughan F.R. JonesProvidence, Rhode Island :American Mathematical Society,[1980]©19801 online resource (79 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 237"Volume 28 ... end of volume."Originally presented as the author's thesis, University of Geneva.0-8218-2237-3 Bibliography: pages 68-70.CONTENTS -- 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.""7.3 The case N central in G""""7.4 Three examples""Memoirs of the American Mathematical Society ;no. 237.C*-algebrasFinite groupsRepresentations of groupsC*-algebras.Finite groups.Representations of groups.510 s512/.55Jones Vaughan F. R.1952-1545071MiAaPQMiAaPQMiAaPQBOOK9910788894903321Actions of finite groups on the hyperfinite type II factor3799740UNINA