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.
Автор: Takesaki M. Название: Theory of Operator Algebras I ISBN: 354042248X ISBN-13(EAN): 9783540422488 Издательство: Springer Рейтинг: Цена: 17324 р. Наличие на складе: Поставка под заказ.
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.
Автор: Takesaki Masamichi Название: Theory of Operator Algebras II ISBN: 354042914X ISBN-13(EAN): 9783540429142 Издательство: Springer Рейтинг: Цена: 16169 р. Наличие на складе: Поставка под заказ.
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.
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.
Автор: Ola Bratteli; Sergey Neshveyev; Christian Skau Название: Operator Algebras ISBN: 3642070612 ISBN-13(EAN): 9783642070617 Издательство: Springer Рейтинг: Цена: 19056 р. Наличие на складе: Поставка под заказ.
Описание: The theme of the first Abel Symposium was operator algebras in a wide sense. This is the first volume in a prestigious new book series linked to the Abel prize. The contributions give a state-of-the-art account of some of the subject`s sub-disciplines.
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.
Автор: Bratteli Название: Operator Algebras ISBN: 354034196X ISBN-13(EAN): 9783540341963 Издательство: Springer Рейтинг: Цена: 19056 р. Наличие на складе: Поставка под заказ.
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.
Автор: Takesaki Masamichi Название: Theory of Operator Algebras III ISBN: 3540429131 ISBN-13(EAN): 9783540429135 Издательство: Springer Рейтинг: Цена: 16169 р. Наличие на складе: Поставка под заказ.
Описание: Together with "Theory of Operator Algebras I, II" (EMS 124 and 125), 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 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.
Автор: Neshveyev Sergey, StГёrmer Erling Название: Dynamical Entropy in Operator Algebras ISBN: 3540346708 ISBN-13(EAN): 9783540346708 Издательство: Springer Рейтинг: Цена: 19056 р. Наличие на складе: Поставка под заказ.
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.
Автор: Shtichirt Sakai Название: Operator Algebras in Dynamical Systems ISBN: 0521060214 ISBN-13(EAN): 9780521060219 Издательство: Cambridge Academ Рейтинг: Цена: 6572 р. Наличие на складе: Поставка под заказ.
Описание: This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum statistical mechanics within the framework of the C*-theory. The presentation, which is based on lectures given in Newcastle upon Tyne and Copenhagen, concentrates on topics involving quantum statistical mechanics and differentiations on manifolds. One of the goals is to formulate the absence theorem of phase transitions in its most general form within the C* setting. For the first time, he globally constructs, within that setting, derivations for a fairly wide class of interacting models, and presents a new axiomatic treatment of the construction of time evolutions and KMS states.
Название: Real operator algebras ISBN: 9812383808 ISBN-13(EAN): 9789812383808 Издательство: World Scientific Publishing Рейтинг: Цена: 15065 р. Наличие на складе: Поставка под заказ.
Описание: The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces. So it is a natural and interesting
problem: How is the theory in the field of real numbers? Up to now, the theory of operator algebras over the field of real numbers has seemed not to be introduced systematically and
sufficiently. The aim of this text is to set up the fundamentals of real operator algebras and to give a systematic discussion for real operator algebras.
Since the treatment is
from the beginning (real Banach and Hilbert spaces, real Banach algebras, real Banach * algebras, real C*-algebras and W*-algebras), and some basic facts are given, one can get
some results on real operator algebras easily. The text is also an introduction to real operator algebras, written in a self-contained manner. The reader needs just a general knowledge of
Banach algebras and operator algebras.
Автор: Bastos Название: Operator Algebras, Operator Theory and Applications ISBN: 3764386835 ISBN-13(EAN): 9783764386832 Издательство: Springer Рейтинг: Цена: 20789 р. Наличие на складе: Поставка под заказ.
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.
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