introduction to operator space theory london mathematical society lecture note series

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Introduction To Operator Space Theory

Author : Gilles Pisier
ISBN : 0521811651
Genre : Mathematics
File Size : 45. 30 MB
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An introduction to the theory of operator spaces, emphasising applications to C*-algebras.

An Introduction To K Theory For C Algebras

Author : M. Rørdam
ISBN : 0521789443
Genre : Mathematics
File Size : 55. 25 MB
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This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.

Introduction To The Representation Theory Of Compact And Locally Compact Groups

Author : Alain Robert
ISBN : 9780521289757
Genre : Mathematics
File Size : 63. 37 MB
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Because of their significance in physics and chemistry, representation of Lie groups has been an area of intensive study by physicists and chemists, as well as mathematicians. This introduction is designed for graduate students who have some knowledge of finite groups and general topology, but is otherwise self-contained. The author gives direct and concise proofs of all results yet avoids the heavy machinery of functional analysis. Moreover, representative examples are treated in some detail.

Introduction To Subfactors

Author : V. Jones
ISBN : 0521584205
Genre : Mathematics
File Size : 58. 51 MB
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These notes give an introduction to subfactors suitable for newcomers to the field.

A Mathematical Introduction To String Theory

Author : Sergio Albeverio
ISBN : 0521556104
Genre : Mathematics
File Size : 82. 25 MB
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This book deals with the mathematical aspects of string theory.

Spectral Asymptotics In The Semi Classical Limit

Author : M. Dimassi
ISBN : 0521665442
Genre : Mathematics
File Size : 66. 25 MB
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This book presents the basic methods and applications in semiclassical approximation in the light of developments.

Lectures On The Combinatorics Of Free Probability

Author : Alexandru Nica
ISBN : 9780521858526
File Size : 20. 92 MB
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This 2006 book is a self-contained introduction to free probability theory suitable for an introductory graduate level course.

An Introduction To Noncommutative Differential Geometry And Its Physical Applications

Author : J. Madore
ISBN : 0521659914
Genre : Mathematics
File Size : 63. 11 MB
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A thoroughly revised introduction to non-commutative geometry.

Completely Bounded Maps And Operator Algebras

Author : Vern Paulsen
ISBN : 0521816696
Genre : Mathematics
File Size : 90. 61 MB
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In this book, first published in 2003, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications. The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more.

Lectures On Invariant Theory

Author : Igor Dolgachev
ISBN : 0521525489
Genre : Mathematics
File Size : 43. 65 MB
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The primary goal of this 2003 book is to give a brief introduction to the main ideas of algebraic and geometric invariant theory. It assumes only a minimal background in algebraic geometry, algebra and representation theory. Topics covered include the symbolic method for computation of invariants on the space of homogeneous forms, the problem of finite-generatedness of the algebra of invariants, the theory of covariants and constructions of categorical and geometric quotients. Throughout, the emphasis is on concrete examples which originate in classical algebraic geometry. Based on lectures given at University of Michigan, Harvard University and Seoul National University, the book is written in an accessible style and contains many examples and exercises. A novel feature of the book is a discussion of possible linearizations of actions and the variation of quotients under the change of linearization. Also includes the construction of toric varieties as torus quotients of affine spaces.

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