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.
The $K$-book
The $K$-book - 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 The $K$-book write by Charles A. Weibel. This book was released on 2013-06-13. The $K$-book available in PDF, EPUB and Kindle. Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
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.
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.
An Introduction to C*-Algebras and the Classification Program
An Introduction to C*-Algebras and the Classification Program - 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 C*-Algebras and the Classification Program write by Karen R. Strung. This book was released on 2020-12-15. An Introduction to C*-Algebras and the Classification Program available in PDF, EPUB and Kindle. This book is directed towards graduate students that wish to start from the basic theory of C*-algebras and advance to an overview of some of the most spectacular results concerning the structure of nuclear C*-algebras. The text is divided into three parts. First, elementary notions, classical theorems and constructions are developed. Then, essential examples in the theory, such as crossed products and the class of quasidiagonal C*-algebras, are examined, and finally, the Elliott invariant, the Cuntz semigroup, and the Jiang-Su algebra are defined. It is shown how these objects have played a fundamental role in understanding the fine structure of nuclear C*-algebras. To help understanding the theory, plenty of examples, treated in detail, are included. This volume will also be valuable to researchers in the area as a reference guide. It contains an extensive reference list to guide readers that wish to travel further.
