Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones
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| Autore: |
Jones Vaughan F. R. <1952->
|
| Titolo: |
Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones
|
| 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 | |
| Soggetto genere / forma: | Electronic books. |
| 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 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"" | |
| 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.: | 9910480698903321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 237.