Abelian Subalgebras of Von Neumann Algebras

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821818104
Total Pages : 135 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Abelian Subalgebras of Von Neumann Algebras by : Donald Bures

Download or read book Abelian Subalgebras of Von Neumann Algebras written by Donald Bures and published by American Mathematical Soc.. This book was released on 1971 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Maximal Abelian Subalgebras of Von Neumann Algebras

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Author :
Publisher :
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Maximal Abelian Subalgebras of Von Neumann Algebras by : Ole A. Nielsen

Download or read book Maximal Abelian Subalgebras of Von Neumann Algebras written by Ole A. Nielsen and published by . This book was released on 1968 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Maximal Abelian Subalgebras of Von Neumann Algebras [microform]

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Author :
Publisher : National Library of Canada
ISBN 13 :
Total Pages : 144 pages
Book Rating : 4.:/5 (66 download)

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Book Synopsis Maximal Abelian Subalgebras of Von Neumann Algebras [microform] by : Ole A. Nielsen

Download or read book Maximal Abelian Subalgebras of Von Neumann Algebras [microform] written by Ole A. Nielsen and published by National Library of Canada. This book was released on 1968 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Von Neumann Algebras and Masas

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521719194
Total Pages : 411 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Finite Von Neumann Algebras and Masas by : Allan Sinclair

Download or read book Finite Von Neumann Algebras and Masas written by Allan Sinclair and published by Cambridge University Press. This book was released on 2008-06-26 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book devoted to the general theory of finite von Neumann algebras.

Abelian Subalgebras of Von Neumann Algebras. Bures

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Publisher :
ISBN 13 :
Total Pages : 127 pages
Book Rating : 4.:/5 (559 download)

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Book Synopsis Abelian Subalgebras of Von Neumann Algebras. Bures by : Donald John Charles Bures

Download or read book Abelian Subalgebras of Von Neumann Algebras. Bures written by Donald John Charles Bures and published by . This book was released on 1971 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Crossed Products of von Neumann Algebras by Equivalence Relations and Their Subalgebras

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821805576
Total Pages : 122 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Crossed Products of von Neumann Algebras by Equivalence Relations and Their Subalgebras by : Igor Fulman

Download or read book Crossed Products of von Neumann Algebras by Equivalence Relations and Their Subalgebras written by Igor Fulman and published by American Mathematical Soc.. This book was released on 1997 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author introduces and studies the construction of the crossed product of a von Neumann algebra. This construction is the generalization of the construction of the crossed product of an abelian von Neumann algebra by an equivalence relation introduced by J. Feldman and C. C. Moore. Many properties of this construction are proved in the general case. In addition, the generalizations of the Spectral Theorem on Bimodules and of the theorem on dilations are proved.

Von Neumann Algebras

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Author :
Publisher : Elsevier
ISBN 13 : 0080960154
Total Pages : 479 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Von Neumann Algebras by : J. Dixmier

Download or read book Von Neumann Algebras written by J. Dixmier and published by Elsevier. This book was released on 2011-08-18 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.

Duality for Crossed Products of von Neumann Algebras

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Author :
Publisher : Springer
ISBN 13 : 3540351256
Total Pages : 149 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Duality for Crossed Products of von Neumann Algebras by : Y. Nakagami

Download or read book Duality for Crossed Products of von Neumann Algebras written by Y. Nakagami and published by Springer. This book was released on 2006-11-15 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Maximal Abelian *-subalgebras in Continuous Von Neumann Algebras

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Publisher :
ISBN 13 :
Total Pages : 26 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Singular Maximal Abelian *-subalgebras in Continuous Von Neumann Algebras by : S. Popa

Download or read book Singular Maximal Abelian *-subalgebras in Continuous Von Neumann Algebras written by S. Popa and published by . This book was released on 1982 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on Von Neumann Algebras

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Author :
Publisher : Routledge
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lectures on Von Neumann Algebras by : Serban Stratila

Download or read book Lectures on Von Neumann Algebras written by Serban Stratila and published by Routledge. This book was released on 1979 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Compact Abelian Groups of Automorphisms of Von Neumann Algebras

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Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.:/5 (35 download)

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Book Synopsis Compact Abelian Groups of Automorphisms of Von Neumann Algebras by : Jon Eric Kraus

Download or read book Compact Abelian Groups of Automorphisms of Von Neumann Algebras written by Jon Eric Kraus and published by . This book was released on 1977 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

C*-Algebras and Operator Theory

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Publisher : Academic Press
ISBN 13 : 0080924964
Total Pages : 297 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis C*-Algebras and Operator Theory by : Gerald J. Murphy

Download or read book C*-Algebras and Operator Theory written by Gerald J. Murphy and published by Academic Press. This book was released on 2014-06-28 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Elementary Functional Analysis

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Publisher : Springer Science & Business Media
ISBN 13 : 0387855297
Total Pages : 212 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Elementary Functional Analysis by : Barbara MacCluer

Download or read book Elementary Functional Analysis written by Barbara MacCluer and published by Springer Science & Business Media. This book was released on 2008-10-20 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Functional analysis arose in the early twentieth century and gradually, conquering one stronghold after another, became a nearly universal mathematical doctrine, not merely a new area of mathematics, but a new mathematical world view. Its appearance was the inevitable consequence of the evolution of all of nineteenth-century mathematics, in particular classical analysis and mathematical physics. Its original basis was formed by Cantor’s theory of sets and linear algebra. Its existence answered the question of how to state general principles of a broadly interpreted analysis in a way suitable for the most diverse situations. A.M. Vershik ([45], p. 438). This text evolved from the content of a one semester introductory course in fu- tional analysis that I have taught a number of times since 1996 at the University of Virginia. My students have included ?rst and second year graduate students prep- ing for thesis work in analysis, algebra, or topology, graduate students in various departments in the School of Engineering and Applied Science, and several und- graduate mathematics or physics majors. After a ?rst draft of the manuscript was completed, it was also used for an independent reading course for several und- graduates preparing for graduate school.

Von Neumann Algebras

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Publisher : University-Press.org
ISBN 13 : 9781230512310
Total Pages : 28 pages
Book Rating : 4.5/5 (123 download)

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Book Synopsis Von Neumann Algebras by : Source Wikipedia

Download or read book Von Neumann Algebras written by Source Wikipedia and published by University-Press.org. This book was released on 2013-09 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 26. Chapters: Abelian von Neumann algebra, Affiliated operator, Baer ring, Central carrier, Commutation theorem, Connes embedding problem, Continuous geometry, Crossed product, Direct integral, Dixmier trace, Finite dimensional von Neumann algebra, Hyperfinite type II factor, Kaplansky density theorem, Octacube (mathematics), Schroder-Bernstein theorems for operator algebras, Sherman-Takeda theorem, Subfactor, Temperley-Lieb algebra, Tomita-Takesaki theory, Ultrastrong topology, Ultraweak topology, Von Neumann bicommutant theorem.

An Introduction to the Classification of Amenable C*-algebras

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Author :
Publisher : World Scientific
ISBN 13 : 9789812799883
Total Pages : 336 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis An Introduction to the Classification of Amenable C*-algebras by : Huaxin Lin

Download or read book An Introduction to the Classification of Amenable C*-algebras written by Huaxin Lin and published by World Scientific. This book was released on 2001 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."

Noncommutative Geometry

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Publisher : Springer
ISBN 13 : 3540397027
Total Pages : 364 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Noncommutative Geometry by : Alain Connes

Download or read book Noncommutative Geometry written by Alain Connes and published by Springer. This book was released on 2003-12-15 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

Actions of Discrete Amenable Groups on Von Neumann Algebras

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Author :
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 130 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Actions of Discrete Amenable Groups on Von Neumann Algebras by : Adrian Ocneanu

Download or read book Actions of Discrete Amenable Groups on Von Neumann Algebras written by Adrian Ocneanu and published by Lecture Notes in Mathematics. This book was released on 1985-08 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: