Lectures on Von Neumann Algebras
Author | : Serban Stratila |
Publisher | : Routledge |
Total Pages | : 486 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : |
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Author | : Serban Stratila |
Publisher | : Routledge |
Total Pages | : 486 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : |
Author | : David M. Topping |
Publisher | : |
Total Pages | : |
Release | : 1969 |
Genre | : |
ISBN | : |
Author | : Șerban Strătilă |
Publisher | : Cambridge University Press |
Total Pages | : 441 |
Release | : 2019-05-09 |
Genre | : Mathematics |
ISBN | : 1108496849 |
The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.
Author | : Fumio Hiai |
Publisher | : |
Total Pages | : |
Release | : 2021 |
Genre | : |
ISBN | : 9783985470044 |
Author | : Dietmar Bisch |
Publisher | : |
Total Pages | : |
Release | : 1988 |
Genre | : |
ISBN | : |
Author | : V.S. Sunder |
Publisher | : Springer Science & Business Media |
Total Pages | : 184 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461386691 |
Why This Book: The theory of von Neumann algebras has been growing in leaps and bounds in the last 20 years. It has always had strong connections with ergodic theory and mathematical physics. It is now beginning to make contact with other areas such as differential geometry and K-Theory. There seems to be a strong case for putting together a book which (a) introduces a reader to some of the basic theory needed to appreciate the recent advances, without getting bogged down by too much technical detail; (b) makes minimal assumptions on the reader's background; and (c) is small enough in size to not test the stamina and patience of the reader. This book tries to meet these requirements. In any case, it is just what its title proclaims it to be -- an invitation to the exciting world of von Neumann algebras. It is hoped that after perusing this book, the reader might be tempted to fill in the numerous (and technically, capacious) gaps in this exposition, and to delve further into the depths of the theory. For the expert, it suffices to mention here that after some preliminaries, the book commences with the Murray - von Neumann classification of factors, proceeds through the basic modular theory to the III). classification of Connes, and concludes with a discussion of crossed-products, Krieger's ratio set, examples of factors, and Takesaki's duality theorem.
Author | : Karl Heinrich Hofmann |
Publisher | : Springer |
Total Pages | : 814 |
Release | : 1972 |
Genre | : Algebras, Linear |
ISBN | : |
Author | : Serban-Valentin Stratila |
Publisher | : Cambridge University Press |
Total Pages | : 442 |
Release | : 2019-05-09 |
Genre | : Mathematics |
ISBN | : 1108750222 |
Written in lucid language, this valuable text discusses fundamental concepts of von Neumann algebras including bounded linear operators in Hilbert spaces, finite von Neumann algebras, linear forms on algebra of operators, geometry of projections and classification of von Neumann algebras in an easy to understand manner. The revised text covers new material including the first two examples of factors of type II^1, an example of factor of type III and theorems for von Neumann algebras with a cyclic and separating vector. Pedagogical features including solved problems and exercises are interspersed throughout the book.
Author | : B. V. Rajarama Bhat |
Publisher | : American Mathematical Soc. |
Total Pages | : 337 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 0821808214 |
This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of C*-algebras and von Neumann algebras, together with recent work on the classification of C*-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.
Author | : Michael Atiyah |
Publisher | : World Scientific |
Total Pages | : 644 |
Release | : 1997-10-13 |
Genre | : Mathematics |
ISBN | : 9814497517 |
Although the Fields Medal does not have the same public recognition as the Nobel Prizes, they share a similar intellectual standing. It is restricted to one field - that of mathematics - and an age limit of 40 has become an accepted tradition. Mathematics has in the main been interpreted as pure mathematics, and this is not so unreasonable since major contributions in some applied areas can be (and have been) recognized with Nobel Prizes. The restriction to 40 years is of marginal significance, since most mathematicians have made their mark long before this age.A list of Fields Medallists and their contributions provides a bird's eye view of mathematics over the past 60 years. It highlights the areas in which, at various times, greatest progress has been made. This volume does not pretend to be comprehensive, nor is it a historical document. On the other hand, it presents contributions from 22 Fields Medallists and so provides a highly interesting and varied picture.The contributions themselves represent the choice of the individual Medallists. In some cases the articles relate directly to the work for which the Fields Medals were awarded. In other cases new articles have been produced which relate to more current interests of the Medallists. This indicates that while Fields Medallists must be under 40 at the time of the award, their mathematical development goes well past this age. In fact the age limit of 40 was chosen so that young mathematicians would be encouraged in their future work.The Fields Medallists' Lectures is now available on CD-ROM. Sections can be accessed at the touch of a button, and similar topics grouped together using advanced keyword searches.