03094nam 2200613 450 991048069890332120170918215708.01-4704-0641-1(CKB)3360000000464421(EBL)3113617(SSID)ssj0000910347(PQKBManifestationID)11480548(PQKBTitleCode)TC0000910347(PQKBWorkID)10949599(PQKB)10636130(MiAaPQ)EBC3113617(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 M[sup(G)]""; ""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: Qâ€?KERNELS AND ALL THAT""; ""4.1 Qâ€?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 Qâ€?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 groupsElectronic books.C*-algebras.Finite groups.Representations of groups.510 s512/.55Jones Vaughan F. R.1952-992135MiAaPQMiAaPQMiAaPQBOOK9910480698903321Actions of finite groups on the hyperfinite type II factor2271178UNINA