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E-book
Author Jones, Vaughan F. R., 1952- author.

Title Actions of finite groups on the hyperfinite type II[subscript 1] factor / Vaughan F.R. Jones
Published Providence, Rhode Island : American Mathematical Society, [1980]
©1980

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Description 1 online resource (79 pages)
Series Memoirs of the American Mathematical Society, 0065-9266 ; number 237
Memoirs of the American Mathematical Society ; no. 237.
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
Notes "Volume 28 ... end of volume."
Originally presented as the author's thesis, University of Geneva
Bibliography Includes bibliographical references (pages 68-70)
Notes English
Print version record
Subject C*-algebras.
Finite groups.
Representations of groups.
C*-algebras
Finite groups
Representations of groups
Form Electronic book
ISBN 9781470406417
1470406411