Bộ sách luyện thi ETS 2023 LC&RC
199,000₫
299,000₫
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Main subject categories: • Operator algebras • von Neumann algebras (almost a prerequisite)
Chapter
headings • Ch I Normal Weights • Ch II Conditional Expectations and
Operator-Valued Weights • Ch III Groups of Automorphisms • Ch IV Crossed
Products • Ch V Continuous Decompositions • Ch VI Discrete
Decompositions
The 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 III₁ 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.
Thể loại:Mathematics - Algebra
Tập:8
Năm:2020
In lần thứ:2
Nhà xuát bản:Cambridge University Press
Ngôn ngữ:english
Trang:460
