000			01742nam a22002417a 4500
003			OSt
005			20231124123126.0
008			231124b |||||||| |||| 00| 0 eng d
020			_a0387963561 (pbk.) :
020			_a9780387963563
040			_cCUS
082	0	0	_a512.55 _219 _bSUN/I
100	1		_aSunder, V. S. _924332
245	1	3	_aAn invitation to von Neumann algebras
260			_aNew York : _bSpringer-Verlag, _cc1987.
300			_axiv, 171 p. : _bill. ; _c24 cm.
490	0		_aUniversitext
500			_aIncludes index.
505			_a0 Introduction.- 0.1 Basic operator theory.- 0.2 The predual L(H)*.- 0.3 Three locally convex topologies on L(H).- 0.4 The double commutant theorem.- 1 The Murray — von Neumann Classification of Factors.- 1.1 The relation… ~… (rel M).- 1.2 Finite projections.- 1.3 The dimension function.- 2 The Tomita — Takesaki Theory.- 2.1 Noncommutative integration.- 2.2 The GNS construction.- 2.3 The Tomita-Takesaki theorem (for states).- 2.4 Weights and generalized Hilbert algebras.- 2.5 The KMS boundary condition.- 2.6 The Radon-Nikodym theorem and conditional expectations.- 3 The Connes Classification of Type III Factors.- 3.1 The unitary cocycle theorem.- 3.2 The Arveson spectrum of an action.- 3.3 The Connes spectrum of an action.- 3.4 Alternative descriptions of ?(M).- 4 Crossed-Products.- 4.1 Discrete crossed-products.- 4.2 The modular operator for a discrete crossed-product.- 4.3 Examples of factors.- 4.4 Continuous crossed-products and Takesaki’s duality theorem.- 4.5 The structure of properly infinite von Neumann algebras.- Appendix: Topological Groups.- Notes.
650		0	_aVon Neumann algebras. _924333
650		0	_x VonNeumann-Algebra _924334
942			_2ddc _cWB16
999			_c214171 _d214171