Actions of finite groups on the hyperfinite type II[subscript 1] factor /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Jones, Vaughan F. R., 1952- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, [1980]
Colección:Memoirs of the American Mathematical Society ; no. 237.
Temas:
C*-algebras.
Finite groups.
Representations of groups.
C*-algèbres.
Groupes finis.
Représentations de groupes.
C*-algebras
Finite groups
Representations of groups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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: 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.

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