Abelian Subalgebras of Von Neumann Algebras PDF Download

Author: Donald Bures
Publisher: American Mathematical Soc.
ISBN: 0821818104
Category : Abelian groups
Languages : en
Pages : 135

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Author: J. Dixmier
Publisher: Elsevier
ISBN: 0080960154
Category : Mathematics
Languages : en
Pages : 479

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Book Description
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.

Author: Library of Congress. Copyright Office
Publisher: Copyright Office, Library of Congress
ISBN:
Category : Copyright
Languages : en
Pages : 1040

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Author: Kazuyuki Saitô
Publisher: Springer
ISBN: 1447167759
Category : Mathematics
Languages : en
Pages : 265

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Book Description
This monograph is about monotone complete C*-algebras, their properties and the new classification theory. A self-contained introduction to generic dynamics is also included because of its important connections to these algebras. Our knowledge and understanding of monotone complete C*-algebras has been transformed in recent years. This is a very exciting stage in their development, with much discovered but with many mysteries to unravel. This book is intended to encourage graduate students and working mathematicians to attack some of these difficult questions. Each bounded, upward directed net of real numbers has a limit. Monotone complete algebras of operators have a similar property. In particular, every von Neumann algebra is monotone complete but the converse is false. Written by major contributors to this field, Monotone Complete C*-algebras and Generic Dynamics takes readers from the basics to recent advances. The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.

Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 184

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Author: Raymond C. Fabec
Publisher: CRC Press
ISBN: 1351990217
Category : Mathematics
Languages : en
Pages : 448

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Book Description
Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has evolved. It presents new and old results in a coherent and natural manner and studies a number of tools useful in various areas of this diversely applied subject. From Borel spaces and selection theorems to Mackey's theory of induction, measures on homogeneous spaces, and the theory of left Hilbert algebras, the author's self-contained treatment allows readers to choose from a wide variety of topics and pursue them independently according to their needs. Beyond serving as both a general reference and as a text for those requiring a background in group-operator algebra representation theory, for careful readers, this monograph helps reveal not only the subject's utility, but also its inherent beauty.

Author: O. A. Nielsen
Publisher: CRC Press
ISBN: 1000154157
Category : Mathematics
Languages : en
Pages : 186

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This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.

Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 670

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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 200

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Author: Tsuruichi Hayashi
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 600

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