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Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones
| Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones |
| Autore | Jones Vaughan F. R. <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Finite groups Representations of groups |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-0641-1 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 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"" |
| Record Nr. | UNINA-9910480698903321 |
Jones Vaughan F. R. <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones
| Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones |
| Autore | Jones Vaughan F. R. <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Finite groups Representations of groups |
| ISBN | 1-4704-0641-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910788894903321 |
|
Jones Vaughan F. R. <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones
| Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones |
| Autore | Jones Vaughan F. R. <1952-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1980] |
| Descrizione fisica | 1 online resource (79 p.) |
| Disciplina |
510 s
512/.55 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
C*-algebras
Finite groups Representations of groups |
| ISBN | 1-4704-0641-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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"" |
| Record Nr. | UNINA-9910817227003321 |
|
Jones Vaughan F. R. <1952->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [1980] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||