Actions of Finite Groups on the Hyperfinite Type II (Subscript 1) Factor.
Jones, Vaughan.
Actions of Finite Groups on the Hyperfinite Type II (Subscript 1) Factor. - 1st ed. - 1 online resource (79 pages) - Memoirs of the American Mathematical Society ; v.28 . - Memoirs of the American Mathematical Society .
Intro -- 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.
9781470406417
C*-algebras.
Finite groups.
Representations of groups.
Electronic books.
QA326 -- .J66 1980eb
510 s;512/.55
Actions of Finite Groups on the Hyperfinite Type II (Subscript 1) Factor. - 1st ed. - 1 online resource (79 pages) - Memoirs of the American Mathematical Society ; v.28 . - Memoirs of the American Mathematical Society .
Intro -- 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.
9781470406417
C*-algebras.
Finite groups.
Representations of groups.
Electronic books.
QA326 -- .J66 1980eb
510 s;512/.55