Book Description
General Theory of C*-Algebras
Author :
Publisher : Elsevier
Page : 441 pages
File Size : 28,97 MB
Release : 2001-07-11
Category : Mathematics
ISBN : 0080528341
General Theory of C*-Algebras
Author : Corneliu Constantinescu
Publisher :
Page : 417 pages
File Size : 31,35 MB
Release : 2001
Category : Banach algebras
ISBN :
Author : Gerald J. Murphy
Publisher : Academic Press
Page : 297 pages
File Size : 13,51 MB
Release : 2014-06-28
Category : Mathematics
ISBN : 0080924964
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.
Author : Karen R. Strung
Publisher : Springer Nature
Page : 322 pages
File Size : 15,91 MB
Release : 2020-12-15
Category : Mathematics
ISBN : 3030474658
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.
Author : Theodore W. Palmer
Publisher : Cambridge University Press
Page : 820 pages
File Size : 31,70 MB
Release : 1994-03-25
Category : Mathematics
ISBN : 9780521366373
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 The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory.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.
Author : M. Rørdam
Publisher : Cambridge University Press
Page : 260 pages
File Size : 29,40 MB
Release : 2000-07-20
Category : Mathematics
ISBN : 9780521789448
This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.
Author : Bruce Blackadar
Publisher : Taylor & Francis
Page : 552 pages
File Size : 45,12 MB
Release : 2006
Category : Mathematics
ISBN : 9783540284864
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.
Author : Shoichiro Sakai
Publisher : Springer Science & Business Media
Page : 271 pages
File Size : 43,48 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642619932
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
Author : Ilijas Farah
Publisher : Springer Nature
Page : 517 pages
File Size : 50,81 MB
Release : 2019-12-24
Category : Mathematics
ISBN : 3030270939
This book explores and highlights the fertile interaction between logic and operator algebras, which in recent years has led to the resolution of several long-standing open problems on C*-algebras. The interplay between logic and operator algebras (C*-algebras, in particular) is relatively young and the author is at the forefront of this interaction. The deep level of scholarship contained in these pages is evident and opens doors to operator algebraists interested in learning about the set-theoretic methods relevant to their field, as well as to set-theorists interested in expanding their view to the non-commutative realm of operator algebras. Enough background is included from both subjects to make the book a convenient, self-contained source for students. A fair number of the exercises form an integral part of the text. They are chosen to widen and deepen the material from the corresponding chapters. Some other exercises serve as a warmup for the latter chapters.
Author : Robert Doran
Publisher : CRC Press
Page : 450 pages
File Size : 46,50 MB
Release : 1986-03-14
Category : Mathematics
ISBN : 9780824775698
This book gives an account of two celebrated theorems of Gelfand and Naimark for commutative C*-algebras, their tangled history, generalizations and applications, in a form accessible to mathematicians working in various applied fields, and also to students of pure and applied mathematics.