Actions of Discrete Amenable Groups on von Neumann Algebras
Author : Adrian Ocneanu
Publisher : Springer
Page : 120 pages
File Size : 29,66 MB
Release : 2006-12-08
Category : Mathematics
ISBN : 3540395792
Author :
Publisher : World Scientific
Page : 1001 pages
File Size : 24,13 MB
Release :
Category :
ISBN :
Book Description
Model Theory of Operator Algebras
Author : Isaac Goldbring
Publisher : Walter de Gruyter GmbH & Co KG
Page : 498 pages
File Size : 14,93 MB
Release : 2023-07-24
Category : Mathematics
ISBN : 3110768283
Book Description
Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras
Author : Huzihiro Araki
Publisher : World Scientific
Page : 306 pages
File Size : 42,53 MB
Release : 1994-09-30
Category :
ISBN : 981455071X
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 Jeu
Publisher : American Mathematical Soc.
Page : 329 pages
File Size : 37,23 MB
Release : 2009-11-30
Category : Mathematics
ISBN : 0821847473
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 Masuda
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 48,32 MB
Release : 2016-10-05
Category : Mathematics
ISBN : 1470420163
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 Cherix
Publisher : Springer Science & Business Media
Page : 144 pages
File Size : 20,82 MB
Release : 2001-08-01
Category : Mathematics
ISBN : 9783764365981
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. Araki
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 36,61 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461204534
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 Nakagami
Publisher : World Scientific
Page : 450 pages
File Size : 34,28 MB
Release : 1991-04-29
Category :
ISBN : 981455622X
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.
Group Actions in Ergodic Theory, Geometry, and Topology
Author : Robert J. Zimmer
Publisher : University of Chicago Press
Page : 724 pages
File Size : 20,39 MB
Release : 2019-12-23
Category : Mathematics
ISBN : 022656827X
Book Description
Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.
