Author: Adrian OcneanuPublisher: Springer
ISBN: 3540395792
Category : Mathematics
Languages : en
Pages : 120
Book Description
Actions of Discrete Amenable Groups on von Neumann Algebras
Author: Adrian OcneanuPublisher: Springer
ISBN: 3540395792
Category : Mathematics
Languages : en
Pages : 120
Book Description
Action of Discrete Amenable Groups on Von Neumann Algebras
Author: Adrian Ocneanu
Author: Duality for Actions and Coactions of Measured Groupoids on von Neumann Algebras
Author: Takehiko YamanouchiPublisher: American Mathematical Soc.
ISBN: 0821825453
Category : Duality theory
Languages : en
Pages : 122
Book Description
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.
Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras
Author: Huzihiro ArakiPublisher: World Scientific
ISBN: 981455071X
Category :
Languages : en
Pages : 306
Book Description
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.
Operator Structures and Dynamical Systems
Author: Marcel de JeuPublisher: American Mathematical Soc.
ISBN: 0821847473
Category : Mathematics
Languages : en
Pages : 329
Book Description
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.
Rohlin Flows on von Neumann Algebras
Author: Toshihiko MasudaPublisher: American Mathematical Soc.
ISBN: 1470420163
Category : Mathematics
Languages : en
Pages : 128
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.
Groups with the Haagerup Property
Author: Pierre-Alain CherixPublisher: Springer Science & Business Media
ISBN: 9783764365981
Category : Mathematics
Languages : en
Pages : 144
Book Description
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.
Mappings of Operator Algebras
Author: H. ArakiPublisher: Springer Science & Business Media
ISBN: 1461204534
Category : Mathematics
Languages : en
Pages : 311
Book Description
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 ......................................................................... .
Current Topics In Operator Algebras - Proceedings Of The Satellite Conference Of Icm - 90
Author: Y NakagamiPublisher: World Scientific
ISBN: 981455622X
Category :
Languages : en
Pages : 450
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.