An Introduction to K-Theory for C*-Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to K-Theory for C*-Algebras write by M. Rørdam. This book was released on 2000-07-20. An Introduction to K-Theory for C*-Algebras available in PDF, EPUB and Kindle. This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
K-Theory for Operator Algebras
K-Theory for Operator Algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook K-Theory for Operator Algebras write by Bruce Blackadar. This book was released on 2012-12-06. K-Theory for Operator Algebras available in PDF, EPUB and Kindle. 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.
K-theory and C*-algebras
K-theory and C*-algebras - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook K-theory and C*-algebras write by Niels Erik Wegge-Olsen. This book was released on 1993. K-theory and C*-algebras available in PDF, EPUB and Kindle. K-theory is often considered a complicated mathematical theory for specialists only. This book is an accessible introduction to the basics and provides detailed explanations of the various concepts required for a deeper understanding of the subject. Some familiarity with basic C*algebra theory is assumed. The book then follows a careful construction and analysis of the operator K-theory groups and proof of the results of K-theory, including Bott periodicity. Of specific interest to algebraists and geometrists, the book aims to give full instruction. No details are left out in the presentation and many instructive and generously hinted exercises are provided. Apart from K-theory, this book offers complete and self contained expositions of important advanced C*-algebraic constructions like tensor products, multiplier algebras and Hilbert modules.
C*-Algebras and Operator Theory
C*-Algebras and Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook C*-Algebras and Operator Theory write by Gerald J. Murphy. This book was released on 2014-06-28. C*-Algebras and Operator Theory available in PDF, EPUB and Kindle. This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.
Noncommutative Geometry
Noncommutative Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncommutative Geometry write by Alain Connes. This book was released on 2003-12-15. Noncommutative Geometry available in PDF, EPUB and Kindle. Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.
