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Author | : Peter A. Fillmore and James A. Mingo |
Publisher | : American Mathematical Soc. |
Total Pages | : 184 |
Release | : 1998-07-28 |
Genre | : Operator algebras |
ISBN | : 9780821871287 |
Download Operator Algebras and Their Applications II Book in PDF, ePub and Kindle
The study of operator algebras, which grew out of von Neumann's work in the 1920s and 30s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality, with significant applications in other areas both within mathematics and in other fields. For this reason, and because of the existence of a strong Canadian school in the subject, the topic was a natural candidate for an emphasis year at The Fields Institute. This volume is the second selection of papers that arose from the seminars and workshops of a year-long program, Operator Algebras and Applications, that took place at The Fields Institute. Topics covered include the classification of amenable C*-algebras, lifting theorems for completely positive maps, and automorphisms of von Neumann algebras of type III.
Author | : James Lepowsky |
Publisher | : Springer Science & Business Media |
Total Pages | : 330 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 0817681868 |
Download Introduction to Vertex Operator Algebras and Their Representations Book in PDF, ePub and Kindle
* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical foundations and proceeds to a range of applications. * Includes a number of new, original results and brings fresh perspective to important works of many other researchers in algebra, lie theory, representation theory, string theory, quantum field theory, and other areas of math and physics.
Author | : David E. Evans |
Publisher | : Cambridge University Press |
Total Pages | : 257 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 052136843X |
Download Operator Algebras and Applications: Volume 1, Structure Theory; K-theory, Geometry and Topology Book in PDF, ePub and Kindle
These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.
Author | : Ola Bratteli |
Publisher | : Springer Science & Business Media |
Total Pages | : 528 |
Release | : 1987 |
Genre | : Mathematics |
ISBN | : 9783540170938 |
Download Operator Algebras and Quantum Statistical Mechanics 1 Book in PDF, ePub and Kindle
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.
Author | : Deguang Han |
Publisher | : American Mathematical Soc. |
Total Pages | : 440 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821839233 |
Download Operator Theory, Operator Algebras, and Applications Book in PDF, ePub and Kindle
This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.
Author | : Peter A. Fillmore |
Publisher | : American Mathematical Soc. |
Total Pages | : 335 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0821805223 |
Download Operator Algebras and Their Applications Book in PDF, ePub and Kindle
The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 programme year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the programme. Topics covered include the classification of amenable C ]*-algebras, the Baum-Connes conjecture, E [0 semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?
Author | : Peter A. Fillmore |
Publisher | : American Mathematical Soc. |
Total Pages | : 182 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 0821809083 |
Download Operator Algebras and Their Applications II Book in PDF, ePub and Kindle
The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?
Author | : Erik M. Alfsen |
Publisher | : Springer Science & Business Media |
Total Pages | : 372 |
Release | : 2001-04-27 |
Genre | : Mathematics |
ISBN | : 9780817638900 |
Download State Spaces of Operator Algebras Book in PDF, ePub and Kindle
The topic of this book is the theory of state spaces of operator algebras and their geometry. The states are of interest because they determine representations of the algebra, and its algebraic structure is in an intriguing and fascinating fashion encoded in the geometry of the state space. From the beginning the theory of operator algebras was motivated by applications to physics, but recently it has found unexpected new applica tions to various fields of pure mathematics, like foliations and knot theory, and (in the Jordan algebra case) also to Banach manifolds and infinite di mensional holomorphy. This makes it a relevant field of study for readers with diverse backgrounds and interests. Therefore this book is not intended solely for specialists in operator algebras, but also for graduate students and mathematicians in other fields who want to learn the subject. We assume that the reader starts out with only the basic knowledge taught in standard graduate courses in real and complex variables, measure theory and functional analysis. We have given complete proofs of basic results on operator algebras, so that no previous knowledge in this field is needed. For discussion of some topics, more advanced prerequisites are needed. Here we have included all necessary definitions and statements of results, but in some cases proofs are referred to standard texts. In those cases we have tried to give references to material that can be read and understood easily in the context of our book.
Author | : Kehe Zhu |
Publisher | : CRC Press |
Total Pages | : 172 |
Release | : 1993-05-27 |
Genre | : Mathematics |
ISBN | : 9780849378751 |
Download An Introduction to Operator Algebras Book in PDF, ePub and Kindle
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.
Author | : Maria Amélia Bastos |
Publisher | : Springer Science & Business Media |
Total Pages | : 443 |
Release | : 2008-05-27 |
Genre | : Mathematics |
ISBN | : 3764386843 |
Download Operator Algebras, Operator Theory and Applications Book in PDF, ePub and Kindle
This book is composed of three survey lecture courses and some twenty invited 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. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.