Actions of finite groups on the hyperfinite type II[subscript 1] factor / Vaughan F.R. Jones.

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Bibliographic Details
Main Author: Jones, Vaughan F. R., 1952- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [1980]
Series:Memoirs of the American Mathematical Society ; no. 237.
Subjects:
Online Access:Click for online access

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100 1 |a Jones, Vaughan F. R.,  |d 1952-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJfMhWw8PpJcKX8DWh8DMP 
245 1 0 |a Actions of finite groups on the hyperfinite type II[subscript 1] factor /  |c Vaughan F.R. Jones. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [1980] 
264 4 |c ©1980 
300 |a 1 online resource (79 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 237 
500 |a "Volume 28 ... end of volume." 
500 |a Originally presented as the author's thesis, University of Geneva. 
504 |a Includes bibliographical references (pages 68-70). 
588 0 |a Print version record. 
505 0 |a 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. 
505 8 |a 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. 
546 |a English. 
650 0 |a C*-algebras. 
650 0 |a Finite groups. 
650 0 |a Representations of groups. 
650 7 |a C*-algebras  |2 fast 
650 7 |a Finite groups  |2 fast 
650 7 |a Representations of groups  |2 fast 
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776 0 8 |i Print version:  |a Jones, Vaughan F.R.  |t Actions of finite groups on the hyperfinite type II[subscript 1] factor.  |d Providence, Rhode Island : American Mathematical Society, [1980]  |h v, 70 ; 26 cm  |k Memoirs of the American Mathematical Society ; no. 237  |x 0065-9266  |z 9780821822371 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 237. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3113617  |y Click for online access 
903 |a EBC-AC 
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