Elements Of Kk Theory
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Elements Of Kk Theory
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Author : Kjeld Knudsen Jensen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elements Of Kk Theory written by Kjeld Knudsen Jensen 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 2012-12-06 with Mathematics categories.
The KK-theory of Kasparov is now approximately twelve years old; its power, utility and importance have been amply demonstrated. Nonethe less, it remains a forbiddingly difficult topic with which to work and learn. There are many reasons for this. For one thing, KK-theory spans several traditionally disparate mathematical regimes. For another, the literature is scattered and difficult to penetrate. Many of the major papers require the reader to supply the details of the arguments based on only a rough outline of proofs. Finally, the subject itself has come to consist of a number of difficult segments, each of which demands prolonged and intensive study. is to deal with some of these difficul Our goal in writing this book ties and make it possible for the reader to "get started" with the theory. We have not attempted to produce a comprehensive treatise on all aspects of KK-theory; the subject seems too vital to submit to such a treatment at this point. What seemed more important to us was a timely presen tation of the very basic elements of the theory, the functoriality of the KK-groups, and the Kasparov product.
K Theory For Operator Algebras
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Author : Bruce Blackadar
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-13
K Theory For Operator Algebras written by Bruce Blackadar 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 1998-09-13 with Mathematics categories.
This book is the only comprehensive treatment of K-theory for operator algebras.
Handbook Of K Theory
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Author : Eric Friedlander
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-07-18
Handbook Of K Theory written by Eric Friedlander 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 2005-07-18 with Mathematics categories.
This handbook offers a compilation of techniques and results in K-theory. Each chapter is dedicated to a specific topic and is written by a leading expert. Many chapters present historical background; some present previously unpublished results, whereas some present the first expository account of a topic; many discuss future directions as well as open problems. It offers an exposition of our current state of knowledge as well as an implicit blueprint for future research.
K Theory For Operator Algebras
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Author : Bruce Blackadar
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
K Theory For Operator Algebras written by Bruce Blackadar 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 2012-12-06 with Mathematics categories.
K -Theory has revolutionized the study of operator algebras in the last few years. As the primary component of the subject of "noncommutative topol ogy," K -theory has opened vast new vistas within the structure theory of C* algebras, as well as leading to profound and unexpected applications of opera tor algebras to problems in geometry and topology. As a result, many topolo gists and operator algebraists have feverishly begun trying to learn each others' subjects, and it appears certain that these two branches of mathematics have become deeply and permanently intertwined. Despite the fact that the whole subject is only about a decade old, operator K -theory has now reached a state of relative stability. While there will undoubtedly be many more revolutionary developments and applications in the future, it appears the basic theory has more or less reached a "final form." But because of the newness of the theory, there has so far been no comprehensive treatment of the subject. It is the ambitious goal of these notes to fill this gap. We will develop the K -theory of Banach algebras, the theory of extensions of C*-algebras, and the operator K -theory of Kasparov from scratch to its most advanced aspects. We will not treat applications in detail; however, we will outline the most striking of the applications to date in a section at the end, as well as mentioning others at suitable points in the text.
Geometric And Topological Methods For Quantum Field Theory
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Author : Hernan Ocampo
language : en
Publisher: Cambridge University Press
Release Date : 2010-04-29
Geometric And Topological Methods For Quantum Field Theory written by Hernan Ocampo 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 2010-04-29 with Science categories.
Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an account of important results in geometric topology. It investigates the differential equation aspects of quantum cohomology, before moving on to noncommutative geometry. This is followed by a further exploration of quantum field theory and gauge theory, describing AdS/CFT correspondence, and the functional renormalization group approach to quantum gravity. The second part covers a wide spectrum of topics on the borderline of mathematics and physics, ranging from orbifolds to quantum indistinguishability and involving a manifold of mathematical tools borrowed from geometry, algebra and analysis. Each chapter presents introductory material before moving on to more advanced results. The chapters are self-contained and can be read independently of the rest.
Elements Of The Theory Of Functions Of A Complex Variable
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Author : Heinrich Durège
language : en
Publisher:
Release Date : 1896
Elements Of The Theory Of Functions Of A Complex Variable written by Heinrich Durège and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1896 with Functions categories.
An Introduction To K Theory For C Algebras
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Author : M. Rørdam
language : en
Publisher: Cambridge University Press
Release Date : 2000-07-20
An Introduction To K Theory For C Algebras written by M. Rørdam 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 2000-07-20 with Mathematics categories.
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
Elements Of The Mathematical Theory Of Multi Frequency Oscillations
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Author : Anatolii M. Samoilenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Elements Of The Mathematical Theory Of Multi Frequency Oscillations written by Anatolii M. Samoilenko 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 2012-12-06 with Mathematics categories.
Elements Of The Mathematical Theory Of Electricity And Magnetism
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Author : Joseph John Thomson
language : en
Publisher:
Release Date : 1895
Elements Of The Mathematical Theory Of Electricity And Magnetism written by Joseph John Thomson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1895 with Electric power categories.
Introduction To The Theory Of Algebraic Numbers And Fuctions
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Author :
language : en
Publisher: Academic Press
Release Date : 1966-01-01
Introduction To The Theory Of Algebraic Numbers And Fuctions 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 1966-01-01 with Mathematics categories.
Introduction to the Theory of Algebraic Numbers and Fuctions