000			02301nam a22003017a 4500
999			_c57036 _d57036
005			20210728125505.0
008			210728b ||||| |||| 00| 0 eng d
020			_a9780387963563
028			_a:International Book Distributors _b:Flat No 17, Prakash Apartment 4405/2, 5 Ansari Road Darya Ganj New Delhi _c:116431 _d:07/04/2021
082			_a512.55 SUN
100			_aSunder, V. S.
245			_aAn invitation to Von Neumann Algebras _c/ V S Sunder
260			_aNew York _b: Springer-Verlag, _c©1987.
300			_axiv, 171 pages _c: illustrations ; 24 cm.
365			_b6439
490			_aUniversitext.
505			_a 0 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.
520			_aWhy This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray - von Neumann classification of factors, proceeds through the basic modular theory to the III).
650			_aMathematics
650			_aAlgebra
650			_aVon Neumann algebras.
650			_aNeumann-algebra
650			_aVonNeumann-Algebra
650			_aAlgebra.
650			_aVonNeumann-Algebra.
700			_aSunder, V. S
942			_cBOOK