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General Theory of C*-Algebras

General Theory of C*-Algebras PDF Author:
Publisher: Elsevier
ISBN: 0080528341
Category : Mathematics
Languages : en
Pages : 440

Book Description
General Theory of C*-Algebras

General Theory of C*-Algebras

General Theory of C*-Algebras PDF Author:
Publisher: Elsevier
ISBN: 0080528341
Category : Mathematics
Languages : en
Pages : 440

Book Description
General Theory of C*-Algebras

C*-Algebras and Operator Theory

C*-Algebras and Operator Theory PDF Author: Gerald J. Murphy
Publisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 296

Book Description
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.

General Theory of C*-algebras

General Theory of C*-algebras PDF Author: Corneliu Constantinescu
Publisher:
ISBN:
Category : Banach algebras
Languages : en
Pages : 417

Book Description

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras PDF Author: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366373
Category : Mathematics
Languages : en
Pages : 820

Book Description
This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.

Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras

Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras PDF Author: Theodore W. Palmer
Publisher: Cambridge University Press
ISBN: 9780521366380
Category : Mathematics
Languages : en
Pages : 846

Book Description
This second of two volumes gives a modern exposition of the theory of Banach algebras.

An Introduction to K-Theory for C*-Algebras

An Introduction to K-Theory for C*-Algebras PDF Author: M. Rørdam
Publisher: Cambridge University Press
ISBN: 9780521789448
Category : Mathematics
Languages : en
Pages : 260

Book Description
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.

General Theory of Banach Algebras

General Theory of Banach Algebras PDF Author: Charles Earl Rickart
Publisher: Krieger Publishing Company
ISBN:
Category : Algebraic fields
Languages : en
Pages : 416

Book Description

C*-Algebras and W*-Algebras

C*-Algebras and W*-Algebras PDF Author: Shoichiro Sakai
Publisher: Springer Science & Business Media
ISBN: 3642619932
Category : Mathematics
Languages : en
Pages : 271

Book Description
From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. It includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." Mathematical Reviews

An Introduction to C*-Algebras and the Classification Program

An Introduction to C*-Algebras and the Classification Program PDF Author: Karen R. Strung
Publisher: Springer Nature
ISBN: 3030474658
Category : Mathematics
Languages : en
Pages : 322

Book Description
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.

Operator Algebras

Operator Algebras PDF Author: Bruce Blackadar
Publisher: Taylor & Francis
ISBN: 9783540284864
Category : Mathematics
Languages : en
Pages : 552

Book Description
This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.
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