C Algebras 1943 1993
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C Algebras 1943 1993
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Author :
language : en
Publisher: American Mathematical Soc.
Release Date : 1994
C Algebras 1943 1993 written by and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with C*-algebras categories.
C Algebras
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Author : Robert S. Doran
language : en
Publisher: American Mathematical Soc.
Release Date : 1994-01-01
C Algebras written by Robert S. Doran and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
The book contains carefully written expository and research articles by leaders in the field, including a reprint of the original 1943 paper on C[* algebras by Gelfand and Neumark.
C Algebras 1943 1993 A Fifty Year
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Author :
language : en
Publisher:
Release Date : 1994
C Algebras 1943 1993 A Fifty Year written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
C Algebras
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Author :
language : en
Publisher:
Release Date : 1994
C Algebras written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
C Algebras
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Author : Robert S. Doran
language : en
Publisher:
Release Date : 1994
C Algebras written by Robert S. Doran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with C*-algebras categories.
C Algebras 1943 1993
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Author : Robert S. Doran
language : en
Publisher:
Release Date : 1993
C Algebras 1943 1993 written by Robert S. Doran and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.
An Introduction To The Classification Of Amenable C Algebras
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Author : Huaxin Lin
language : en
Publisher: World Scientific
Release Date : 2001
An Introduction To The Classification Of Amenable C Algebras written by Huaxin Lin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
The theory and applications of C Oeu -algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems. By Gelfand transformation, the theory of C Oeu -algebras is also regarded as non-commutative topology. About a decade ago, George A. Elliott initiated the program of classification of C Oeu -algebras (up to isomorphism) by their K -theoretical data. It started with the classification of AT -algebras with real rank zero. Since then great efforts have been made to classify amenable C Oeu -algebras, a class of C Oeu -algebras that arises most naturally. For example, a large class of simple amenable C Oeu -algebras is discovered to be classifiable. The application of these results to dynamical systems has been established. This book introduces the recent development of the theory of the classification of amenable C Oeu -algebras OCo the first such attempt. The first three chapters present the basics of the theory of C Oeu -algebras which are particularly important to the theory of the classification of amenable C Oeu -algebras. Chapter 4 otters the classification of the so-called AT -algebras of real rank zero. The first four chapters are self-contained, and can serve as a text for a graduate course on C Oeu -algebras. The last two chapters contain more advanced material. In particular, they deal with the classification theorem for simple AH -algebras with real rank zero, the work of Elliott and Gong. The book contains many new proofs and some original results related to the classification of amenable C Oeu -algebras. Besides being as an introduction to the theory of the classification of amenable C Oeu -algebras, it is a comprehensive reference for those more familiar with the subject. Sample Chapter(s). Chapter 1.1: Banach algebras (260 KB). Chapter 1.2: C*-algebras (210 KB). Chapter 1.3: Commutative C*-algebras (212 KB). Chapter 1.4: Positive cones (207 KB). Chapter 1.5: Approximate identities, hereditary C*-subalgebras and quotients (230 KB). Chapter 1.6: Positive linear functionals and a Gelfand-Naimark theorem (235 KB). Chapter 1.7: Von Neumann algebras (234 KB). Chapter 1.8: Enveloping von Neumann algebras and the spectral theorem (217 KB). Chapter 1.9: Examples of C*-algebras (270 KB). Chapter 1.10: Inductive limits of C*-algebras (252 KB). Chapter 1.11: Exercises (220 KB). Chapter 1.12: Addenda (168 KB). Contents: The Basics of C Oeu -Algebras; Amenable C Oeu -Algebras and K -Theory; AF- Algebras and Ranks of C Oeu -Algebras; Classification of Simple AT -Algebras; C Oeu -Algebra Extensions; Classification of Simple Amenable C Oeu -Algebras. Readership: Researchers and graduate students in operator algebras."
Lifting Solutions To Perturbing Problems In C Algebras
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Author : Terry A. Loring
language : en
Publisher: American Mathematical Soc.
Release Date : 1997-01-01
Lifting Solutions To Perturbing Problems In C Algebras written by Terry A. Loring and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-01 with Mathematics categories.
The techniques of universal algebra are applied to the category of C*-algebras. An important difference, central to this book, is that one can consider approximate representations of relations and approximately commuting diagrams. Moreover, the highly algebraic approach does not exclude applications to very geometric C*-algebras. K-theory is avoided, but universal properties and stability properties of specific C*-algebras that have applications to K-theory are considered. Index theory arises naturally, and very concretely, as an obstruction to stability for almost commuting matrices. Multiplier algebras are studied in detail, both in the setting of rings and of C*-algebras. Recent results about extensions of C*-algebras are discussed, including a result linking amalgamated products with the Busby/Hochshild theory.
Operator Algebras
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Author : Bruce Blackadar
language : en
Publisher: Taylor & Francis
Release Date : 2006
Operator Algebras written by Bruce Blackadar and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
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.
Operator Algebras And Applications
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Author : Toke M. Carlsen
language : en
Publisher: Springer
Release Date : 2016-07-30
Operator Algebras And Applications written by Toke M. Carlsen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-30 with Mathematics categories.
Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject. The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis. This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.