000			03513nam a22005053i 4500
001			EBC3114398
003			MiAaPQ
005			20240729124606.0
006			m o d |
007			cr cnu||||||||
008			240724s2004 xx o ||||0 eng d
020			_a9781470403959 _q(electronic bk.)
020			_z9780821834916
035			_a(MiAaPQ)EBC3114398
035			_a(Au-PeEL)EBL3114398
035			_a(CaPaEBR)ebr11041176
035			_a(OCoLC)922982062
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA3 -- .B738 2004eb
082	0		_a515/.48
100	1		_aBratteli, Ola.
245	1	0	_aRepresentation Theory and Numerical AF-Invariants : _bThe representations and centralizers of certain states on Od.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2004.
264		4	_c©2004.
300			_a1 online resource (202 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.168
505	0		_aIntro -- Contents -- Abstract -- Preface -- Introduction -- Part A. Representation Theory -- Chapter 1. General representations of O[sub(d)] on a separable Hilbert space -- Chapter 2. The free group on d generators -- Chapter 3. 946-KMS states for one-parameter subgroups of the action of T[sub(d)] on O[sub(d)] -- Chapter 4. Subalgebras of O[sub(d)] -- Part B. Numerical AF-Invariants -- Chapter 5. The dimension group of u[sub(L)] -- Chapter 6. Invariants related to the Perron-Frobenius eigenvalue -- Chapter 7. The invariants N, D, Prim(m[sub(N)]), Prim(R[sub(D)]), Prim(Q[sub(N-D)]) -- Chapter 8. The invariants K[sub(0)] (u[sub(L)]) [sub(⊗z)]Z[sub(n)] and (ker T)[sub(⊗z)]Z[sub(n)] for n = 2, 3 , 4 , ... -- Chapter 9. Associated structure of the groups K[sub(0)] (u[sub(L)]) and kerT -- Chapter 10. The invariant Ext (T (K[sub(0)] (u[sub(L)]), ker T) -- Chapter 11. Scaling and non-isomorphism -- Chapter 12. Subgroups of G[sub(0)] = U[sup(∞)][sub(n=0)] J[sup( n)][sub(0)]L -- Chapter 13. Classification of the AF-algebras u[sub(L)] with rank K[sub(0)] (u[sub(L)]) = 2 -- Chapter 14. Linear algebra of J -- Chapter 15. Lattice points -- Chapter 16. Complete classification in the cases λ= 2, N = 2, 3,4 -- Chapter 17. Complete classification in the case λ = m[sub(N)] -- 1. The case N = 1 -- 2. The case N = 2 -- 3. The case N = 3 -- 4. The case N ≤ 4 -- Chapter 18. Further comments on two examples from Chapter 16 -- Bibliography -- List of Figures -- List of Tables -- List of Terms and Symbols.
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	_aErgodic theory.
650		0	_aRepresentations of groups.
650		0	_aSelfadjoint operators.
650		0	_aLinear operators.
655		4	_aElectronic books.
700	1		_aJorgensen, Palle E.T.
700	1		_aOstrovs'kyĭ, Vasyl'.
776	0	8	_iPrint version: _aBratteli, Ola _tRepresentation Theory and Numerical AF-Invariants _dProvidence : American Mathematical Society,c2004 _z9780821834916
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114398 _zClick to View
999			_c69893 _d69893