2 edition of **C*-algebras** found in the catalog.

C*-algebras

Jacques Dixmier

- 166 Want to read
- 8 Currently reading

Published
**1982**
by North-Holland, sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co. in Amsterdam, New York, New York
.

Written in English

- C*-algebras,
- Representations of algebras,
- Representations of groups

**Edition Notes**

Statement | Jacques Dixmier |

Series | North-Holland mathematical library -- v. 15 |

The Physical Object | |
---|---|

Pagination | xiii, 513 p. ; |

Number of Pages | 513 |

ID Numbers | |

Open Library | OL16199323M |

ISBN 10 | 0444863915 |

Central to this book is the proof of the equivalence of the various forms of the problem, including forms involving C*-algebra tensor products and free groups, ultraproducts of von Neumann algebras, and quantum information by: 2. This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes.5/5(2).

COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus. Nuclear C*-algebras, which are the most well-behaved class under the operation of tensor product, are discussed briefly. The last chapter of the book is the most interesting, for it deals with the K-theory of C*-algebras. The Brown-Douglas-Fillmore theory was briefly mentioned in an addendum to chapter /5(6).

Get this from a library! C*-Algebras. [Jacques Dixmier;] -- Almost four-fifths of this book deals with the study of C*-algebras, and the main results due, among others, to Fell, Glimm, Kadison, Kaplansky, Mackey and Segal are expounded. Because of the amount. This book provides a detailed introduction to this vast subject suitable for graduate students and others whose research has contact with crossed product \(C^*\)-algebras. In addition to providing the basic definitions and results, the main focus of this book is the fine ideal structure of crossed products as revealed by the study of induced.

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The theory of C*-algebras is still expanding rapidly, but this work remains a clear and accessible introduction to the fundamentals of the subject.5/5(1). Nuclear C*-algebras, which are the most well-behaved class under the operation of tensor product, are discussed briefly.

The last chapter of the book is the most interesting, for it deals with the K-theory of C*-algebras. The Brown-Douglas-Fillmore theory was briefly mentioned in an addendum to chapter by: The book contains many original results concerning C*-algebras book C*-algebras, partial differential equations, Hilbert right C*-modules, and C*-algebras generated by groups.

The functional calculus is constructed for W*-algebras with the elements of the bidual space and not merely with the Borel functions. From the reviews: "This book is an excellent and comprehensive survey of the theory of von Neumann algebras. C*-algebras book includes all the fundamental results of the subject, and is a valuable reference for both the beginner and the expert." (Math.

Reviews) "In theory, this book can be read by a well-trainedBrand: Springer-Verlag Berlin Heidelberg. C*-Algebras by Example This is a graduate text published in the Fields Institute Monograph Series volume 6 by the American Mathematical Society.

If you are interesting in prices or information on ordering a copy, consult the AMS Bookstore website and specifically this title. Customers from Asian countries can also obtain the book through the Hindustan Book Agency, P 19 Green Park Extn., New.

This book contains a collection of articles provided by the participants of the SFB-workshop on C*-algebras, March 8 - Ma which was held at the Sonderforschungsbereich "Geometrische Strukturen in der reinen Mathematik" of the University C*-algebras book Münster, Germany.

This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras.

The development of operator algebras in the last twenty years has been based on a careful study of these special classes. The treatment of Group C* algebras is particularly good (as it is in Ken Davidson's book) R.G.

Douglas, Banach Algebra Techniques in Operator Theory: A second edition of this has recently come out. The book focusses on applications to the theory of Fredholm and Toeplitz operators, so it is useful if you want to do some operator theory. Suppose that AB are C-algebras, we form their direct sum A B= f(a;b) ja2A;b2Bg: The algebraic operations are all performed coordinate-wise and the norm is given by k(a;b)k= maxfkak;kbkg; for any ain Aand bin B.

There is an obvious extension of this notion to nite direct sums. Also, if A n;n 1 is a sequence of C-algebras, their direct sum is de ned as 1 n=1 AFile Size: KB.

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 Price: $ The algebras studied in this chapter, von Neumann algebras, are a class of C*-algebras whose study can be thought of as noncommutative measure theory. With respect to the strong topology, B (H) is a topological vector space, so the operations of addition and scalar multiplication are strongly continuous.

C*-Algebras and Operator Theory book. Read reviews from world’s largest community for readers. This book constitutes a first- or second-year graduate cou /5. In C*-Algebras and their Automorphism Groups (Second Edition), Editors' notes and remarks.

Modern C ⁎-algebra theory comes with a cornucopia of useful constructions of C ⁎-algebras from other C ⁎-algebras and/or mathematical structures originating in other subjects. Although the first edition of this book does describe some of these constructions, most of them are more recent, and it is not possible.

Available in: subject of C*-algebras received a dramatic revitalization in the s by the introduction of topological methods throughPrice: $ 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.

C algebras by Example Book Summary: The subject of C*-algebras received a dramatic revitalization in the s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of K-theory to provide a useful classification of AF algebras.

These results were the beginning of a marvelous new set of tools for analyzing. texts All Books All Texts latest This Just In Smithsonian Libraries FEDLINK (US) Genealogy Lincoln Collection.

National Emergency Library. Top C*-algebras by Dixmier, Jacques. Publication date Topics C*-algebras, Representations of algebras, Representations of Pages: $\textrm{C}^*$-Algebras and Finite-Dimensional Approximations Nathanial P. Brown and Narutaka Ozawa Publication Year: ISBN ISBN Graduate Studies in Mathematics, vol.

Purchase C*-Algebras and Operator Theory - 1st Edition. Print Book & E-Book. ISBNThis 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. The C* Algebras Of A Class Of Solvable Lie Groups book. Read reviews from world’s largest community for : Xiaolu Wang.

The first unified, in-depth discussion of the now classical Gelfand-Naimark theorems, thiscomprehensive text assesses the current status of modern analysis regarding both Banachand C*terizations of C*-Algebras: The Gelfand-Naimark Theorems focuses on general theoryand basic properties in accordance with readers' needs provides complete proofs of Cited by: This book provides a very elementary introduction to K-theory for C*-algebras, and is ideal for beginning graduate students.

Mathematical Analysis and Numerical Methods for Science and Technology Volume 2 Functional and Variational Methods.