Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones

• Autore: Jones Vaughan F. R. <1952->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [1980]; ©1980
• Descrizione fisica: 1 online resource (79 p.)
• Disciplina: 510 s; 512/.55
• Soggetto topico: C*-algebras; Finite groups; Representations of groups
• Note generali: "Volume 28 ... end of volume."; Originally presented as the author's thesis, University of Geneva.
• Nota di bibliografia: Bibliography: pages 68-70.
• Nota di contenuto: 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""
• Titolo autorizzato: Actions of finite groups on the hyperfinite type II factor
• ISBN: 1-4704-0641-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910817227003321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; no. 237.