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Theory of Operator Algebras III, Takesaki Masamichi



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Автор: Takesaki Masamichi
Название:  Theory of Operator Algebras III
ISBN: 9783540429135
Издательство: Springer
Классификация:
ISBN-10: 3540429131
Обложка/Формат: Hardback
Страницы: 548
Дата издания: 01.11.2002
Серия: Encyclopaedia of Mathematical Sciences
Язык: English
Издание: 2003 ed.
Иллюстрации: Xxii, 548 p.
Размер: 241 x 158 x 36
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
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Поставляется из: Германии
Дополнительное описание: Формат: 235x155
Круг читателей: Graduate students and researchers in mathematics andmathematical physics
Ключевые слова: C*-algebra
Operator algebra
ergodic transformation groups
von Neumann algebra
Язык: eng
Оглавление: Preface.- Chapter XIII. Ergodic Transformaton Groups and the Associated von Neumann Algebras.- Chapter XIV. Approximately Finite Dimensional von Neumann Algebras.- Chapter XV. Nuclear C*-Algebras.- Chapter XVI. Injective von Neumann Algebras.- Chapter XVII. Non-Commutative Ergodic Theory.- Chapter XVIII. Structure of Approximately Finite Dimensional Factors.- Chapter XIX. Subfactors of a Factor of Tape II1.- Appendix.- Bibliography.- Index.





Theory of Operator Algebras II

Автор: Takesaki Masamichi
Название: Theory of Operator Algebras II
ISBN: 354042914X ISBN-13(EAN): 9783540429142
Издательство: Springer
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Цена: 16169 р.
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Описание: Together with "Theory of Operator Algebras I, III" (EMS 124 and 127), this book, written by one of the most prominent researchers in the field of operator algebras, presents the theory of von Neumann algebras and non-commutative integration focusing on the group of automorphisms and the structure analysis. It is part of the recently developed part of the "Encyclopaedia of Mathematical Sciences" on operator algebras and non-commutative geometry (see http://www.springer.de/math/ems/index.html). The book provides essential and comprehensive information for graduate students and researchers in mathematics and mathematical physics.

Theory of Operator Algebras I

Автор: Takesaki M.
Название: Theory of Operator Algebras I
ISBN: 354042248X ISBN-13(EAN): 9783540422488
Издательство: Springer
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Цена: 17324 р.
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Описание: Since its inception by von Neumann 70 years ago, the theory of operator algebras has become a rapidly developing area of importance for the understanding of many areas of mathematics and theoretical physics. Accessible to the non-specialist, this first part of a three volume treatise provides a clear, carefully written survey that emphasizes the theory's analytical and topological aspects.The book's unifying theme is the Banach space duality for operator algebras. This allows the reader to recognize the affinity between operator algebras and measure theory on locally compact spaces. Very technical sections are clearly labeled and there are extensive comments by the author, a good historical background and excercises.This book is part of the subseries of the EMS on Operator Algebras and Non-Commutative Geometry.

Operator Algebras / Theory of C*-Algebras and von Neumann Algebras

Автор: Blackadar B.
Название: Operator Algebras / Theory of C*-Algebras and von Neumann Algebras
ISBN: 3540284869 ISBN-13(EAN): 9783540284864
Издательство: Springer
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Цена: 17324 р.
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Описание: This book is the most comprehensive treatment available of the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, classification of injective factors, K-theory, finiteness, stable rank, and quasidiagonality.The presentation concentrates on carefully and precisely explaining the main features of each part of the theory of operator algebras; most important arguments are at least outlined, and many are presented in full detail, so the volume is much more than a mere survey.

Recent Advances in Operator Theory, Operator Algebras, and their Applications

Автор: Gaspar
Название: Recent Advances in Operator Theory, Operator Algebras, and their Applications
ISBN: 3764371277 ISBN-13(EAN): 9783764371272
Издательство: Springer
Цена: 14784 р.
Наличие на складе: Поставка под заказ.

Описание: This book consists of a careful selection of peer-reviewed articles originating from the 19th International Conference on Operator Theory, held in Timisoara in Summer 2002. It contains recent developments covering a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory.

Operator Algebras, Operator Theory and Applications

Автор: Bastos
Название: Operator Algebras, Operator Theory and Applications
ISBN: 3764386835 ISBN-13(EAN): 9783764386832
Издательство: Springer
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Цена: 20789 р.
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Описание: Contains three survey lecture courses and research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. This title reflects developments in the area of operator algebras.

C*-Algebras and Operator Theory,

Автор: Gerald J. Murphy
Название: C*-Algebras and Operator Theory,
ISBN: 0125113609 ISBN-13(EAN): 9780125113601
Издательство: Elsevier Science
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Цена: 6693 р.
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Описание: This book constitutes a first- or second-year graduate course in operator theory. It is a field that affects other areas of mathematics and physics, such as algebraic topology, differential geometry and quantum mechanics.

Operator Algebras

Автор: Bratteli
Название: Operator Algebras
ISBN: 354034196X ISBN-13(EAN): 9783540341963
Издательство: Springer
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Цена: 19056 р.
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Описание: The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as non-commutative geometry (see for example the book "Non-Commutative Geometry" by the Fields medalist Alain Connes). It has branched out in several subdisciplines and made contact with other subjects like for example mathematical physics, algebraic topology, geometry, dynamical systems, knot theory, ergodic theory, wavelets, representations of groups and quantum groups. Norway has a relatively strong group of researchers in the subject, which contributed to the award of the first symposium in the series of Abel Symposia to this group. The contributions to this volume give a state-of-the-art account of some of these subdisciplines.

Operator Algebras and Quantum Statistical Mechanics 1 / C*- and W*-Algebras. Symmetry Groups. Decomposition of States

Автор: Bratteli Ola, Robinson Derek W.
Название: Operator Algebras and Quantum Statistical Mechanics 1 / C*- and W*-Algebras. Symmetry Groups. Decomposition of States
ISBN: 3540170936 ISBN-13(EAN): 9783540170938
Издательство: Springer
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Цена: 23099 р.
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Описание: This is the first of two volumes presenting the theory of operator algebras with applications to quantum statistical mechanics. The authors' approach to the operator theory is to a large extent governed by the dictates of the physical applications. The book is self-contained and most proofs are presented in detail, which makes it a useful text for students with a knowledge of basic functional analysis. The introductory chapter surveys the history and justification of algebraic techniques in statistical physics and outlines the applications that have been made.The second edition contains new and improved results. The principal changes include: A more comprehensive discussion of dissipative operators and analytic elements; the positive resolution of the question of whether maximal orthogonal probability measure on the state space of C-algebra were automatically maximal along all the probability measures on the space.

Operator Algebras and Quantum Statistical Mechanics 2 / Equilibrium States. Models in Quantum Statistical Mechanics

Автор: Bratteli Ola, Robinson Derek W.
Название: Operator Algebras and Quantum Statistical Mechanics 2 / Equilibrium States. Models in Quantum Statistical Mechanics
ISBN: 3540614435 ISBN-13(EAN): 9783540614432
Издательство: Springer
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Цена: 16191 р.
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Описание: For almost two decades this has been the classical textbook on applications of operator algebra theory to quantum statistical physics. It describes the general structure of equilibrium states, the KMS-condition and stability, quantum spin systems and continuous systems.Major changes in the new edition relate to Bose--Einstein condensation, the dynamics of the X-Y model and questions on phase transitions. Notes and remarks have been considerably augmented.

Classification of Nuclear C*-Algebras. Entropy in Operator Algebras

Автор: Rordam M., Stormer E.
Название: Classification of Nuclear C*-Algebras. Entropy in Operator Algebras
ISBN: 3540423052 ISBN-13(EAN): 9783540423058
Издательство: Springer
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Цена: 16169 р.
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Описание: This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam, is on Elliott's classification program for nuclear C*-algebras. The emphasis is on the work of Kirchberg and the spectacular results by Kirchberg and Phillips giving a nearly complete classification, in terms of K-theoretic invariants, in the purely infinite case. This part of the program is described with almost full proofs beginning with Kirchberg's tensor product theorems and Kirchberg's embedding theorem for exact C*-algebras. The classification of finite simple C*-algebras starting with AF-algebras, and continuing with AT- and AH-algebras is covered, but mostly without proofs. The second part, written by E.Stormer, is a survey of the theory of of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001.

Partial *-Algebras and Their Operator Realizations

Автор: Antoine Jean-Pierre, Inoue I., Trapani C.
Название: Partial *-Algebras and Their Operator Realizations
ISBN: 1402010257 ISBN-13(EAN): 9781402010255
Издательство: Springer
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Цена: 15014 р.
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Описание: Algebras of bounded operators are familiar, either as C*-algebras or as von Neumann algebras. A first generalization is the notion of algebras of unbounded operators (O*-algebras), mostly developed by the Leipzig school and in Japan (for a review, we refer to the monographs of K. SchmГјdgen [1990] and A. Inoue [1998]). This volume goes one step further, by considering systematically partial *-algebras of unbounded operators (partial O*-algebras) and the underlying algebraic structure, namely, partial *-algebras. It is the first textbook on this topic. The first part is devoted to partial O*-algebras, basic properties, examples, topologies on them. The climax is the generalization to this new framework of the celebrated modular theory of Tomita-Takesaki, one of the cornerstones for the applications to statistical physics. The second part focuses on abstract partial *-algebras and their representation theory, obtaining again generalizations of familiar theorems (Radon-Nikodym, Lebesgue).

Dynamical Entropy in Operator Algebras

Автор: Neshveyev Sergey, StГёrmer Erling
Название: Dynamical Entropy in Operator Algebras
ISBN: 3540346708 ISBN-13(EAN): 9783540346708
Издательство: Springer
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Цена: 19056 р.
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Описание: During the last 30 years there have been several attempts at extending the notion of entropy to noncommutative dynamical systems. The authors present in the book the two most successful approaches to the extensions of measure entropy and topological entropy to the noncommutative setting and analyze in detail the main models in the theory. The book addresses mathematicians and physicists, including graduate students, who are interested in quantum dynamical systems and applications of operator algebras and ergodic theory. Although the authors assume a basic knowledge of operator algebras, they give precise definitions of the notions and in most cases complete proofs of the results which are used.


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