000			02925nam a22003738i 4500
001			CR9780511666230
003			UkCbUP
005			20200124160236.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			091217s2008||||enk o ||1 0|eng|d
020			_a9780511666230 (ebook)
020			_z9780521719193 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA326 _b.S565 2008
082	0	0	_a512/.556 _222
100	1		_aSinclair, Allan M., _eauthor.
245	1	0	_aFinite von Neumann algebras and masas / _cAllan M. Sinclair, Roger R. Smith.
246	3		_aFinite von Neumann Algebras & Masas
264		1	_aCambridge : _bCambridge University Press, _c2008.
300			_a1 online resource (ix, 400 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v351
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_aGeneral introduction -- Masas in B(H) -- Finite von Neumann algebras -- The basic construction -- Projections and partial isometries -- Normalisers, orthogonality, and distances -- The Pukanszky invariant -- Operators in L -- Perturbations -- General perturbations -- Singular masas -- Existence of special masas -- Irreducible hyperfinite subfactors -- Maximal injective subalgebras -- Masas in non-separable factors -- Singly generated II1 factors -- Appendix A. The ultrapower and property GAMMA -- Appendix B. Unbounded operators -- Appendix C -- The trace revisited -- Index.
520			_aA thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a finite von Neumann algebra with a fixed faithful normal trace are discussed in detail. The general theory of maximal abelian self-adjoint subalgebras (masas) of separable II1 factors is presented with illustrative examples derived from group von Neumann algebras. The theory of singular masas and Sorin Popa's methods of constructing singular and semi-regular masas in general separable II1 factor are explored. Appendices cover the ultrapower of a II1 factor and the properties of unbounded operators required for perturbation results. Proofs are given in considerable detail and standard basic examples are provided, making the book understandable to postgraduates with basic knowledge of von Neumann algebra theory.
650		0	_aVon Neumann algebras.
700	1		_aSmith, Roger R., _eauthor.
776	0	8	_iPrint version: _z9780521719193
830		0	_aLondon Mathematical Society lecture note series ; _v351.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511666230
999			_c518099 _d518097