Actions of Discrete Amenable Groups on von Neumann Algebras PDF Download
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Author: Adrian Ocneanu
Publisher: Springer
ISBN: 3540395792
Category : Mathematics
Languages : en
Pages : 120
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Book Description
Author: Adrian Ocneanu
Publisher: Springer
ISBN: 3540395792
Category : Mathematics
Languages : en
Pages : 120
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Book Description
Author: Toshihiko Masuda
Publisher: American Mathematical Soc.
ISBN: 1470420554
Category : Injective modules (Algebra)
Languages : en
Pages : 118
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Book Description
The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes–Takesaki module is a complete invariant.
Author: Toshihiko Masuda
Publisher: American Mathematical Soc.
ISBN: 1470420163
Category : Conjugacy classes
Languages : en
Pages : 111
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Book Description
The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III0 factors. Several concrete examples are also studied.
Author: Robert S. Doran
Publisher: American Mathematical Soc.
ISBN: 0821834029
Category : Computers
Languages : en
Pages : 434
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Book Description
John von Neumann and Marshall Stone were two giants of Twentieth Century mathematics. In honor of the 100th anniversary of their births, a mathematical celebration was organized featuring developments in fields where both men were major influences. This volume contains articles from the AMS Special Session, Operator Algebras, Quantization and Noncommutative Geometry: A Centennial Celebration in Honor of John von Neumann and Marshall H. Stone. Papers range from expository and refereed and cover a broad range of mathematical topics reflecting the fundamental ideas of von Neumann and Stone. Most contributions are expanded versions of the talks and were written exclusively for this volume. Included, among Also featured is a reprint of P.R. Halmos's The Legend of John von Neumann. The book is suitable for graduate students and researchers interested in operator algebras and applications, including noncommutative geometry.
Author: Geoffrey L. Price
Publisher: American Mathematical Soc.
ISBN: 0821832158
Category : Mathematics
Languages : en
Pages : 338
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Book Description
This volume contains the proceedings of the conference on Advances in Quantum Dynamics. The purpose of the conference was to assess the current state of knowledge and to outline future research directions of quantum dynamical semigroups on von Neumann algebras. Since the appearance of the landmark papers by F. Murray and J. von Neumann, On the Rings of Operators, von Neumann algebras have been used as a mathematical model in the study of time evolution of quantum mechanical systems.Following the work of M. H. Stone, von Neumann, and others on the structure of one-parameter groups of unitary transformations, many researchers have made fundamental contributions to the understanding of time-reversible dynamical systems. This book deals with the mathematics of time-irreversiblesystems, also called dissipative systems. The time parameter is the half-line, and the transformations are now endomorphisms as opposed to automorphisms. For over a decade, W. B. Arveson and R. T. Powers have pioneered the effort to understand the structure of irreversible quantum dynamical systems on von Neumann algebras. Their papers in this volume serve as an excellent introduction to the theory. Also included are contributions in other areas which have had an impact on the theory, such asBrownian motion, dilation theory, quantum probability, and free probability. The volume is suitable for graduate students and research mathematicians interested in the dynamics of quantum systems and corresponding topics in the theory of operator algebras.
Author:
Publisher: World Scientific
ISBN:
Category :
Languages : en
Pages : 1001
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Book Description
Author: Y Nakagami
Publisher: World Scientific
ISBN: 981455622X
Category :
Languages : en
Pages : 450
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Book Description
The topics covered in this proceedings include the C* — dynamical systems, the index theory of subfactors, the noncommutative differential geometry and the quantum groups. This volume presents an overview of the present status of the theory of operator algebras, as well as an outlook for its future development.
Author: Masamichi Takesaki
Publisher: Springer Science & Business Media
ISBN: 9783540429135
Category : Mathematics
Languages : en
Pages : 580
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Book Description
From the reviews: "These three bulky volumes [EMS 124, 125, 127] [...] provide an introduction to this rapidly developing theory. [...] These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." Acta Scientiarum Mathematicarum
Author: Șerban Strătilă
Publisher: Cambridge University Press
ISBN: 1108496849
Category : Mathematics
Languages : en
Pages : 441
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Book Description
The text covers fundamentals of von Neumann algebras, including the Tomita's theory of von Neumann algebras and the latest developments.
Author: Serban-Valentin Stratila
Publisher: Cambridge University Press
ISBN: 1108750222
Category : Mathematics
Languages : en
Pages : 442
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Book Description
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.
