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UNINA9910817227003321 |
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Autore |
Jones Vaughan F. R. <1952-> |
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Titolo |
Actions of finite groups on the hyperfinite type II[subscript 1] factor / / Vaughan F.R. Jones |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [1980] |
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©1980 |
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ISBN |
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Descrizione fisica |
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1 online resource (79 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 237 |
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Disciplina |
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Soggetti |
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C*-algebras |
Finite groups |
Representations of groups |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 28 ... end of volume." |
Originally presented as the author's thesis, University of Geneva. |
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Nota di bibliografia |
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Bibliography: pages 68-70. |
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Nota di contenuto |
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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. |
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