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Author : Moto O'uchi
Publisher :
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4.:/5 (247 download)
Download or read book Hilbert C *-modules and Groupoid C *-algebras written by Moto O'uchi and published by . This book was released on 1999 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : E. Christopher Lance
Publisher : Cambridge University Press
ISBN 13 : 052147910X
Total Pages : 144 pages
Book Rating : 4.5/5 (214 download)
Download or read book Hilbert C*-Modules written by E. Christopher Lance and published by Cambridge University Press. This book was released on 1995-03-16 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert C*-modules are objects like Hilbert spaces, except that the inner product, instead of being complex valued, takes its values in a C*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebras. This book is based on a series of lectures given by Professor Lance at a summer school at the University of Trondheim. It provides, for the first time, a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. It will be welcomed as an excellent resource for all graduate students and researchers working in operator algebras.
Author : Jean Renault
Publisher : Springer
ISBN 13 : 3540392181
Total Pages : 164 pages
Book Rating : 4.5/5 (43 download)
Download or read book A Groupoid Approach to C*-Algebras written by Jean Renault and published by Springer. This book was released on 2006-11-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Klaus Thomsen
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.3/5 (91 download)
Download or read book Hilbert C*-modules, KK-theory and C*-extensions written by Klaus Thomsen and published by . This book was released on 1988 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vladimir Markovich Manuĭlov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889664
Total Pages : 216 pages
Book Rating : 4.8/5 (896 download)
Download or read book Hilbert C*-modules written by Vladimir Markovich Manuĭlov and published by American Mathematical Soc.. This book was released on with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C*$-modules. Hilbert $C*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C $ is replaced by an arbitrary $C*$-algebra. The general theory of Hilbert $C*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool inoperator algebras theory, index theory of elliptic operators, $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C*$-modules is interesting on its own. In this book, the authors explain in detail the basic notions and results of thetheory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.
Author : Dana P. Williams
Publisher : American Mathematical Soc.
ISBN 13 : 1470451336
Total Pages : 398 pages
Book Rating : 4.4/5 (74 download)
Download or read book Tool Kit for Groupoid C∗ -Algebras written by Dana P. Williams and published by American Mathematical Soc.. This book was released on 2019-09-24 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of a C∗-algebra from a locally compact groupoid is an important generalization of the group C∗-algebra construction and of the transformation group C∗-algebra construction. Since their introduction in 1980, groupoid C∗-algebras have been intensively studied with diverse applications, including graph algebras, classification theory, variations on the Baum-Connes conjecture, and noncommutative geometry. This book provides a detailed introduction to this vast subject and is suitable for graduate students or any researcher who wants to use groupoid C∗-algebras in their work. The main focus is to equip the reader with modern versions of the basic technical tools used in the subject, which will allow the reader to understand fundamental results and make contributions to various areas in the subject. Thus, in addition to covering the basic properties and construction of groupoid C∗-algebras, the focus is to give a modern treatment of some of the major developments in the subject in recent years, including the Equivalence Theorem and the Disintegration Theorem. Also covered are the complicated subjects of amenability of groupoids and simplicity results. The book is reasonably self-contained and accessible to graduate students with a good background in operator algebras.
Author : Vladimir Markovich Manuĭlov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821838105
Total Pages : 202 pages
Book Rating : 4.8/5 (381 download)
Download or read book Hilbert C*-modules written by Vladimir Markovich Manuĭlov and published by American Mathematical Soc.. This book was released on 2005 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert $C^*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C}$ is replaced by an arbitrary $C^*$-algebra. The general theory of Hilbert $C^*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool in operator algebras theory, in index theory of elliptic operators, in $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C^*$-modules is interesting on its own. The present book is an introduction to the theory of Hilbert $C^*$-modules. The authors explain in detail the basic notions and results of the theory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.
Author : 大內本夫
Publisher :
ISBN 13 :
Total Pages : 103 pages
Book Rating : 4.:/5 (545 download)
Download or read book 短期共同研究 written by 大內本夫 and published by . This book was released on 1999 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lunchuan Zhang
Publisher : Springer Nature
ISBN 13 : 9819986680
Total Pages : 222 pages
Book Rating : 4.8/5 (199 download)
Download or read book Hilbert C*- Modules and Quantum Markov Semigroups written by Lunchuan Zhang and published by Springer Nature. This book was released on with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul S. Muhly
Publisher : American Mathematical Soc.
ISBN 13 : 0821803468
Total Pages : 69 pages
Book Rating : 4.8/5 (218 download)
Download or read book Hilbert Modules over Operator Algebras written by Paul S. Muhly and published by American Mathematical Soc.. This book was released on 1995 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR
Author : Vladimir Markovich Manuĭlov
Publisher :
ISBN 13 : 9781470446505
Total Pages : pages
Book Rating : 4.4/5 (465 download)
Download or read book Hilbert C*-modules written by Vladimir Markovich Manuĭlov and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Hilbert C^*-modules provide a natural generalization of Hilbert spaces arising when the field of scalars \mathbf{C} is replaced by an arbitrary C^*-algebra. The general theory of Hilbert C^*-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool in operator algebras theory, in index theory of elliptic operators, in K- and KK-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert C^*-modules is interesting on its own. The present book is an introduction to the theory of Hi.
Author : Nathanial Patrick Brown
Publisher : American Mathematical Soc.
ISBN 13 : 0821843818
Total Pages : 530 pages
Book Rating : 4.8/5 (218 download)
Download or read book $\textrm {C}^*$-Algebras and Finite-Dimensional Approximations written by Nathanial Patrick Brown and published by American Mathematical Soc.. This book was released on 2008 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: $\textrm{C}*$-approximation theory has provided the foundation for many of the most important conceptual breakthroughs and applications of operator algebras. This book systematically studies (most of) the numerous types of approximation properties that have been important in recent years: nuclearity, exactness, quasidiagonality, local reflexivity, and others. Moreover, it contains user-friendly proofs, insofar as that is possible, of many fundamental results that were previously quite hard to extract from the literature. Indeed, perhaps the most important novelty of the first ten chapters is an earnest attempt to explain some fundamental, but difficult and technical, results as painlessly as possible. The latter half of the book presents related topics and applications--written with researchers and advanced, well-trained students in mind. The authors have tried to meet the needs both of students wishing to learn the basics of an important area of research as well as researchers who desire a fairly comprehensive reference for the theory and applications of $\textrm{C}*$-approximation theory.
Author : Ronald G. Douglas
Publisher : Longman
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (44 download)
Download or read book Hilbert Modules Over Function Algebras written by Ronald G. Douglas and published by Longman. This book was released on 1989 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean Nicolas Renault
Publisher :
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.:/5 (34 download)
Download or read book A Groupoid Approach to C*-algebras written by Jean Nicolas Renault and published by . This book was released on 1978 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ruy Exel
Publisher : Springer Nature
ISBN 13 : 3031055136
Total Pages : 161 pages
Book Rating : 4.0/5 (31 download)
Download or read book Characterizing Groupoid C*-algebras of Non-Hausdorff Étale Groupoids written by Ruy Exel and published by Springer Nature. This book was released on 2022-10-18 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops tools to handle C*-algebras arising as completions of convolution algebras of sections of line bundles over possibly non-Hausdorff groupoids. A fundamental result of Gelfand describes commutative C*-algebras as continuous functions on locally compact Hausdorff spaces. Kumjian, and later Renault, showed that Gelfand's result can be extended to include non-commutative C*-algebras containing a commutative C*-algebra. In their setting, the C*-algebras in question may be described as the completion of convolution algebras of functions on twisted Hausdorff groupoids with respect to a certain norm. However, there are many natural settings in which the Kumjian–Renault theory does not apply, in part because the groupoids which arise are not Hausdorff. In fact, non-Hausdorff groupoids have been a source of surprising counterexamples and technical difficulties for decades. Including numerous illustrative examples, this book extends the Kumjian–Renault theory to a much broader class of C*-algebras. This work will be of interest to researchers and graduate students in the area of groupoid C*-algebras, the interface between dynamical systems and C*-algebras, and related fields.
Author : Robert Doran
Publisher : CRC Press
ISBN 13 : 9780824775698
Total Pages : 450 pages
Book Rating : 4.7/5 (756 download)
Download or read book Characterizations of C* Algebras written by Robert Doran and published by CRC Press. This book was released on 1986-03-14 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Heath Emerson
Publisher : Springer Nature
ISBN 13 : 3031598504
Total Pages : 548 pages
Book Rating : 4.0/5 (315 download)
Download or read book An Introduction to C*-Algebras and Noncommutative Geometry written by Heath Emerson and published by Springer Nature. This book was released on with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt:
