000			01966nam a2200229 4500
001			21607093
010			_a 2020942046
020			_a9781108489607
020			_a9781108489607
082			_a512.55 _bSTR/M
100	1		_aStr̆atil̆a, Şerban Valentin
245	1	0	_aModular theory in operator algebras
250			_a2
260			_aCambridge _bCambridge University press _c2020
300			_a447 p.
490	0		_aCambridge-iisc series
520			_aThe first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsidó) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products. Covers H. Kosaki's extension of the index to arbitrary factors and F. Rădulescu's examples of non-hyperfinite factors of type IIIλ, λ ∈ (0,1) and of type III1 Explains the group-measure space construction in detail Discusses the main aspects of modular theory with complete proofs Makes the theory accessible to readers having elementary training in operator algebras
650			_aModules (Algebra)
650			_aOperator algebras
650			_aVon Neumann algebras
942			_cBK
999			_c66535 _d66535