000			03013nam a22004693i 4500
001			EBC3113617
003			MiAaPQ
005			20240729124547.0
006			m o d |
007			cr cnu||||||||
008			240724s1980 xx o ||||0 eng d
020			_a9781470406417 _q(electronic bk.)
020			_z9780821822371
035			_a(MiAaPQ)EBC3113617
035			_a(Au-PeEL)EBL3113617
035			_a(CaPaEBR)ebr10882276
035			_a(OCoLC)884584422
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA326 -- .J66 1980eb
082	0		_a510 s;512/.55
100	1		_aJones, Vaughan.
245	1	0	_aActions of Finite Groups on the Hyperfinite Type II (Subscript 1) Factor.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c1980.
264		4	_c©1980.
300			_a1 online resource (79 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.28
505	0		_aIntro -- 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.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aC*-algebras.
650		0	_aFinite groups.
650		0	_aRepresentations of groups.
655		4	_aElectronic books.
776	0	8	_iPrint version: _aJones, Vaughan _tActions of Finite Groups on the Hyperfinite Type II (Subscript 1) Factor _dProvidence : American Mathematical Society,c1980 _z9780821822371
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113617 _zClick to View
999			_c69150 _d69150