Modular Theory In Operator Algebras

DOWNLOAD

Download Modular Theory In Operator Algebras PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Modular Theory In Operator Algebras book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Modular Theory In Operator Algebras

DOWNLOAD
Author : Şerban Strǎtilǎ
language : en
Publisher: Cambridge University Press
Release Date : 2020-12-03

Modular Theory In Operator Algebras written by Şerban Strǎtilǎ and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-03 with Mathematics categories.

Discusses the fundamentals and latest developments in operator algebras, focusing on continuous and discrete decomposition of factors of type III.

Modular Theory Of Operator Algebras

DOWNLOAD
Author : Elizabeth Akehurst
language : en
Publisher:
Release Date : 1977

Modular Theory Of Operator Algebras written by Elizabeth Akehurst and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with categories.

Theory Of Operator Algebras I

DOWNLOAD
Author : M. Takesaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-11-20

Theory Of Operator Algebras I written by M. Takesaki and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-11-20 with Mathematics categories.

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.

Vertex Operator Algebras And The Monster

DOWNLOAD
Author : Igor Frenkel
language : en
Publisher: Academic Press
Release Date : 1989-05-01

Vertex Operator Algebras And The Monster written by Igor Frenkel and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-05-01 with Mathematics categories.

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular functions in mathematics, and string theory in physics. The first part of the book presents a new mathematical theory of vertex operator algebras, the algebraic counterpart of two-dimensional holomorphic conformal quantum field theory. The remaining part constructs the Monster finite simple group as the automorphism group of a very special vertex operator algebra, called the "moonshine module" because of its relevance to "monstrous moonshine."

Fundamentals Of The Theory Of Operator Algebras V2

DOWNLOAD
Author :
language : en
Publisher: Academic Press
Release Date : 1986-06-10

Fundamentals Of The Theory Of Operator Algebras V2 written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-06-10 with Mathematics categories.

Fundamentals of the Theory of Operator Algebras. V2

Aspects Of Operator Algebras And Applications

DOWNLOAD
Author : Ara, Pere
language : en
Publisher: American Mathematical Soc.
Release Date : 2011

Aspects Of Operator Algebras And Applications written by Ara, Pere and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.

The contents of this book cover K-theory for operator algebras, modular theory by example, modular theory for the Von Neumann algebras of local quantum physics, and much more.

Vertex Algebras And Algebraic Curves

DOWNLOAD
Author : Edward Frenkel
language : en
Publisher: American Mathematical Soc.
Release Date : 2004-08-25

Vertex Algebras And Algebraic Curves written by Edward Frenkel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-25 with Mathematics categories.

Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming ubiquitous in many areas of modern mathematics, with applications to representation theory, algebraic geometry, the theory of finite groups, modular functions, topology, integrable systems, and combinatorics. This book is an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. The notion of a vertex algebra is introduced in a coordinate-independent way, so that vertex operators become well defined on arbitrary smooth algebraic curves, possibly equipped with additional data, such as a vector bundle. Vertex algebras then appear as the algebraic objects encoding the geometric structure of various moduli spaces associated with algebraic curves. Therefore they may be used to give a geometric interpretation of various questions of representation theory. The book contains many original results, introduces important new concepts, and brings new insights into the theory of vertex algebras. The authors have made a great effort to make the book self-contained and accessible to readers of all backgrounds. Reviewers of the first edition anticipated that it would have a long-lasting influence on this exciting field of mathematics and would be very useful for graduate students and researchers interested in the subject. This second edition, substantially improved and expanded, includes several new topics, in particular an introduction to the Beilinson-Drinfeld theory of factorization algebras and the geometric Langlands correspondence.

An Introduction To Operator Algebras

DOWNLOAD
Author : Kehe Zhu
language : en
Publisher: CRC Press
Release Date : 1993-05-27

An Introduction To Operator Algebras written by Kehe Zhu and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-05-27 with Mathematics categories.

An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.

Tensor Categories

DOWNLOAD
Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-05

Tensor Categories written by Pavel Etingof and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-05 with Mathematics categories.

Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

Jordan Real And Lie Structures In Operator Algebras

DOWNLOAD
Author : Sh. Ayupov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Jordan Real And Lie Structures In Operator Algebras written by Sh. Ayupov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.

The theory of operator algebras acting on a Hilbert space was initiated in thirties by papers of Murray and von Neumann. In these papers they have studied the structure of algebras which later were called von Neu mann algebras or W* -algebras. They are weakly closed complex *-algebras of operators on a Hilbert space. At present the theory of von Neumann algebras is a deeply developed theory with various applications. In the framework of von Neumann algebras theory the study of fac tors (i.e. W* -algebras with trivial centres) is very important, since they are comparatively simple and investigation of general W* -algebras can be reduced to the case of factors. Therefore the theory of factors is one of the main tools in the structure theory of von Neumann algebras. In the middle of sixtieth Topping [To 1] and Stormer [S 2] have ini tiated the study of Jordan (non associative and real) analogues of von Neumann algebras - so called JW-algebras, i.e. real linear spaces of self adjoint opera.tors on a complex Hilbert space, which contain the identity operator 1. closed with respect to the Jordan (i.e. symmetrised) product INTRODUCTION 2 x 0 y = ~(Xy + yx) and closed in the weak operator topology. The structure of these algebras has happened to be close to the struc ture of von Neumann algebras and it was possible to apply ideas and meth ods similar to von Neumann algebras theory in the study of JW-algebras.