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| Author | : Adrian Ocneanu |
| Publisher | : Springer |
| Total Pages | : 120 |
| Release | : 2006-12-08 |
| Genre | : Mathematics |
| ISBN | : 3540395792 |
| Author | : Adrian Ocneanu |
| Publisher | : |
| Total Pages | : 114 |
| Release | : 1985 |
| Genre | : |
| ISBN | : |
| Author | : |
| Publisher | : World Scientific |
| Total Pages | : 1001 |
| Release | : |
| Genre | : |
| ISBN | : |
| Author | : Takehiko Yamanouchi |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 122 |
| Release | : 1993 |
| Genre | : Duality theory |
| ISBN | : 0821825453 |
Through classification of compact abelian group actions on semifinite injective factors, Jones and Takesaki introduced a notion of an action of a measured groupoid on a von Neumann algebra, which was proven to be an important tool for such an analysis. In this paper, elaborating their definition, the author introduces a new concept of a measured groupoid action that may fit more perfectly in the groupoid setting. The author also considers a notion of a coaction of a measured groupoid by showing the existence of a canonical "coproduct" on every groupoid von Neumann algebra.
| Author | : Huzihiro Araki |
| Publisher | : World Scientific |
| Total Pages | : 306 |
| Release | : 1994-09-30 |
| Genre | : |
| ISBN | : 981455071X |
The theory of subfactors of von Neumann algebras made an amazing development in the past ten years or so. In order to appraise the present state of the art in subfactor theory and to look for promising directions of future research, the workshop was organised. This workshop gives an overview of the foremost developments in subfactor theory and related topics.
| Author | : Marcel de Jeu |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 329 |
| Release | : 2009-11-30 |
| Genre | : Mathematics |
| ISBN | : 0821847473 |
This volume contains the proceedings of a Leiden Workshop on Dynamical Systems and their accompanying Operator Structures which took place at the Lorentz Center in Leiden, The Netherlands, on July 21-25, 2008. These papers offer a panorama of selfadjoint and non-selfadjoint operator algebras associated with both noncommutative and commutative (topological) dynamical systems and related subjects. Papers on general theory, as well as more specialized ones on symbolic dynamics and complex dynamical systems, are included.
| Author | : Toshihiko Masuda |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 128 |
| Release | : 2016-10-05 |
| Genre | : Mathematics |
| ISBN | : 1470420163 |
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 | : Pierre-Alain Cherix |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 144 |
| Release | : 2001-08-01 |
| Genre | : Mathematics |
| ISBN | : 9783764365981 |
A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isometric action on some affine Hilbert space. As Gromov's pun is trying to indicate, this definition is designed as a strong negation to Kazhdan's property (T), characterized by the fact that every isometric action on some affine Hilbert space has a fixed point. This book is to covers various aspects of the Haagerup property. It gives several new examples.
| Author | : H. Araki |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 311 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 1461204534 |
This volume consists of articles contributed by participants at the fourth Ja pan-U.S. Joint Seminar on Operator Algebras. The seminar took place at the University of Pennsylvania from May 23 through May 27, 1988 under the auspices of the Mathematics Department. It was sponsored and supported by the Japan Society for the Promotion of Science and the National Science Foundation (USA). This sponsorship and support is acknowledged with gratitude. The seminar was devoted to discussions and lectures on results and prob lems concerning mappings of operator algebras (C*-and von Neumann alge bras). Among the articles contained in these proceedings, there are papers dealing with actions of groups on C* algebras, completely bounded mappings, index and subfactor theory, and derivations of operator algebras. The seminar was held in honor of the sixtieth birthday of Sh6ichir6 Sakai, one of the great leaders of Functional Analysis for many decades. This vol ume is dedicated to Professor Sakai, on the occasion of that birthday, with the respect and admiration of all the contributors and the participants at the seminar. H. Araki Kyoto, Japan R. Kadison Philadelphia, Pennsylvania, USA Contents Preface.... ..... ....... ........... ...... ......... ................ ...... ............... ... vii On Convex Combinations of Unitary Operators in C*-Algebras UFFE HAAGERUP ......................................................................... .
| Author | : J. Dixmier |
| Publisher | : Elsevier |
| Total Pages | : 479 |
| Release | : 2011-08-18 |
| Genre | : Mathematics |
| ISBN | : 0080960154 |
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.
