Amenable Groupoids

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Publisher :
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Amenable Groupoids by : C. Anantharaman-Delaroche

Download or read book Amenable Groupoids written by C. Anantharaman-Delaroche and published by . This book was released on 2000 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Teichmüller Theory

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Publisher : European Mathematical Society
ISBN 13 : 9783037190555
Total Pages : 888 pages
Book Rating : 4.1/5 (95 download)

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Book Synopsis Handbook of Teichmüller Theory by : Athanase Papadopoulos

Download or read book Handbook of Teichmüller Theory written by Athanase Papadopoulos and published by European Mathematical Society. This book was released on 2007 with total page 888 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume set deals with Teichmuller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmuller theory. The aim is to give a complete panorama of this generalized Teichmuller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic. The volume has 19 chapters and is divided into four parts: The metric and the analytic theory (uniformization, Weil-Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmuller spaces, cohomology of moduli space, and the intersection theory of moduli space). The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups). Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line). The Grothendieck-Teichmuller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmuller theory of the solenoid). This handbook is an essential reference for graduate students and researchers interested in Teichmuller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis. The authors are leading experts in the field.

Groupoids in Analysis, Geometry, and Physics

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Publisher : American Mathematical Soc.
ISBN 13 : 0821820427
Total Pages : 208 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Groupoids in Analysis, Geometry, and Physics by : Arlan Ramsay

Download or read book Groupoids in Analysis, Geometry, and Physics written by Arlan Ramsay and published by American Mathematical Soc.. This book was released on 2001 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groupoids often occur when there is symmetry of a nature not expressible in terms of groups. Other uses of groupoids can involve something of a dynamical nature. Indeed, some of the main examples come from group actions. It should also be noted that in many situations where groupoids have been used, the main emphasis has not been on symmetry or dynamics issues. While the implicit symmetry and dynamics are relevant, the groupoid records mostly the structure of the space of leaves and the holonomy. More generally, the use of groupoids is very much related to various notions of orbit equivalance. This book presents the proceedings from the Joint Summer Research Conference on ``Groupoids in Analysis, Geometry, and Physics'' held in Boulder, CO. The book begins with an introduction to ways in which groupoids allow a more comprehensive view of symmetry than is seen via groups. Topics range from foliations, pseudo-differential operators, $KK$-theory, amenability, Fell bundles, and index theory to quantization of Poisson manifolds. Readers will find examples of important tools for working with groupoids. This book is geared to students and researchers. It is intended to improve their understanding of groupoids and to encourage them to look further while learning about the tools used.

Groupoids, Inverse Semigroups, and their Operator Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461217741
Total Pages : 286 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Groupoids, Inverse Semigroups, and their Operator Algebras by : Alan Paterson

Download or read book Groupoids, Inverse Semigroups, and their Operator Algebras written by Alan Paterson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, it has become increasingly clear that there are important connections relating three concepts -- groupoids, inverse semigroups, and operator algebras. There has been a great deal of progress in this area over the last two decades, and this book gives a careful, up-to-date and reasonably extensive account of the subject matter. After an introductory first chapter, the second chapter presents a self-contained account of inverse semigroups, locally compact and r-discrete groupoids, and Lie groupoids. The section on Lie groupoids in chapter 2 contains a detailed discussion of groupoids particularly important in noncommutative geometry, including the holonomy groupoids of a foliated manifold and the tangent groupoid of a manifold. The representation theories of locally compact and r-discrete groupoids are developed in the third chapter, and it is shown that the C*-algebras of r-discrete groupoids are the covariance C*-algebras for inverse semigroup actions on locally compact Hausdorff spaces. A final chapter associates a universal r-discrete groupoid with any inverse semigroup. Six subsequent appendices treat topics related to those covered in the text. The book should appeal to a wide variety of professional mathematicians and graduate students in fields such as operator algebras, analysis on groupoids, semigroup theory, and noncommutative geometry. It will also be of interest to mathematicians interested in tilings and theoretical physicists whose focus is modeling quasicrystals with tilings. An effort has been made to make the book lucid and 'user friendly"; thus it should be accessible to any reader with a basic background in measure theory and functional analysis.

A Groupoid Approach to C*-Algebras

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Publisher : Springer
ISBN 13 : 3540392181
Total Pages : 164 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis A Groupoid Approach to C*-Algebras by : Jean Renault

Download or read book A Groupoid Approach to C*-Algebras written by Jean Renault and published by Springer. This book was released on 2006-11-15 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension

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Publisher : Springer Nature
ISBN 13 : 3030397130
Total Pages : 163 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension by : Aidan Sims

Download or read book Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension written by Aidan Sims and published by Springer Nature. This book was released on 2020-06-22 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects the notes of the lectures given at the Advanced Course on Crossed Products, Groupoids, and Rokhlin dimension, that took place at the Centre de Recerca Matemàtica (CRM) from March 13 to March 17, 2017. The notes consist of three series of lectures. The first one was given by Dana Williams (Dartmouth College), and served as an introduction to crossed products of C*-algebras and the study of their structure. The second series of lectures was delivered by Aidan Sims (Wollongong), who gave an overview of the theory of topological groupoids (as a model for groups and group actions) and groupoid C*-algebras, with particular emphasis on the case of étale groupoids. Finally, the last series was delivered by Gábor Szabó (Copenhagen), and consisted of an introduction to Rokhlin type properties (mostly centered around the work of Hirshberg, Winter and Zacharias) with hints to the more advanced theory related to groupoids.

Ulam Type Stability

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Publisher : Springer Nature
ISBN 13 : 3030289729
Total Pages : 514 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Ulam Type Stability by : Janusz Brzdęk

Download or read book Ulam Type Stability written by Janusz Brzdęk and published by Springer Nature. This book was released on 2019-10-29 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania). It presents up-to-date insightful perspective and very resent research results on Ulam type stability of various classes of linear and nonlinear operators; in particular on the stability of many functional equations in a single and several variables (also in the lattice environments, Orlicz spaces, quasi-b-Banach spaces, and 2-Banach spaces) and some orthogonality relations (e.g., of Birkhoff–James). A variety of approaches are presented, but a particular emphasis is given to that of fixed points, with some new fixed point results and their applications provided. Besides these several other topics are considered that are somehow related to the Ulam stability such as: invariant means, geometry of Banach function modules, queueing systems, semi-inner products and parapreseminorms, subdominant eigenvalue location of a bordered diagonal matrix and optimal forward contract design for inventory. New directions and several open problems regarding stability and non-stability concepts are included. Ideal for use as a reference or in a seminar, this book is aimed toward graduate students, scientists and engineers working in functional equations, difference equations, operator theory, functional analysis, approximation theory, optimization theory, and fixed point theory who wish to be introduced to a wide spectrum of relevant theories, methods and applications leading to interdisciplinary research. It advances the possibilities for future research through an extensive bibliography and a large spectrum of techniques, methods and applications.

Operator Algebras, Quantization, and Noncommutative Geometry

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Publisher : American Mathematical Soc.
ISBN 13 : 0821834029
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Algebras, Quantization, and Noncommutative Geometry by : Robert S. Doran

Download or read book Operator Algebras, Quantization, and Noncommutative Geometry written by Robert S. Doran and published by American Mathematical Soc.. This book was released on 2004 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Locally Compact Quantum Groups and Groupoids

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Publisher : Walter de Gruyter
ISBN 13 : 3110200058
Total Pages : 256 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Locally Compact Quantum Groups and Groupoids by : Leonid Vainerman

Download or read book Locally Compact Quantum Groups and Groupoids written by Leonid Vainerman and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics.

Limits of Graphs in Group Theory and Computer Science

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Publisher : EPFL Press
ISBN 13 : 9781439804001
Total Pages : 312 pages
Book Rating : 4.8/5 (4 download)

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Book Synopsis Limits of Graphs in Group Theory and Computer Science by : Goulnara Arzhantseva

Download or read book Limits of Graphs in Group Theory and Computer Science written by Goulnara Arzhantseva and published by EPFL Press. This book was released on 2009-03-16 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of research articles and survey papers, this text highlights current methods and open problems in the geometric, combinatorial, and computational aspects of group theory. New interactions with broad areas of theoretical computer science are also considered. Pub 3/09.

Theory of Operator Algebras III

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Publisher : Springer Science & Business Media
ISBN 13 : 3662104539
Total Pages : 568 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Theory of Operator Algebras III by : Masamichi Takesaki

Download or read book Theory of Operator Algebras III written by Masamichi Takesaki and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Geometry, Rigidity, and Group Actions

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Publisher : University of Chicago Press
ISBN 13 : 0226237907
Total Pages : 659 pages
Book Rating : 4.2/5 (262 download)

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Book Synopsis Geometry, Rigidity, and Group Actions by : Benson Farb

Download or read book Geometry, Rigidity, and Group Actions written by Benson Farb and published by University of Chicago Press. This book was released on 2011-04-15 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of group actions is more than a hundred years old but remains to this day a vibrant and widely studied topic in a variety of mathematic fields. A central development in the last fifty years is the phenomenon of rigidity, whereby one can classify actions of certain groups, such as lattices in semi-simple Lie groups. This provides a way to classify all possible symmetries of important spaces and all spaces admitting given symmetries. Paradigmatic results can be found in the seminal work of George Mostow, Gergory Margulis, and Robert J. Zimmer, among others. The papers in Geometry, Rigidity, and Group Actions explore the role of group actions and rigidity in several areas of mathematics, including ergodic theory, dynamics, geometry, topology, and the algebraic properties of representation varieties. In some cases, the dynamics of the possible group actions are the principal focus of inquiry. In other cases, the dynamics of group actions are a tool for proving theorems about algebra, geometry, or topology. This volume contains surveys of some of the main directions in the field, as well as research articles on topics of current interest.

Recent Advances in Operator Theory, Operator Algebras, and their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3764373148
Total Pages : 351 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Recent Advances in Operator Theory, Operator Algebras, and their Applications by : Dumitru Gaspar

Download or read book Recent Advances in Operator Theory, Operator Algebras, and their Applications written by Dumitru Gaspar and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Foliations, Geometry, and Topology

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Publisher : American Mathematical Soc.
ISBN 13 : 0821846280
Total Pages : 247 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Foliations, Geometry, and Topology by : Nicolau Corção Saldanha

Download or read book Foliations, Geometry, and Topology written by Nicolau Corção Saldanha and published by American Mathematical Soc.. This book was released on 2009 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the conference on Foliations, Geometry, and Topology, held August 6-10, 2007, in Rio de Janeiro, Brazil, in honor of the 70th birthday of Paul Schweitzer. The papers focus on the theory of foliations and related areas such as dynamical systems, group actions on low dimensional manifolds, and geometry of hypersurfaces.

Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial

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Publisher : American Mathematical Soc.
ISBN 13 : 1470456648
Total Pages : 345 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial by : Anatoly M. Vershik

Download or read book Topology, Geometry, and Dynamics: V. A. Rokhlin-Memorial written by Anatoly M. Vershik and published by American Mathematical Soc.. This book was released on 2021-08-30 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vladimir Abramovich Rokhlin (8/23/1919–12/03/1984) was one of the leading Russian mathematicians of the second part of the twentieth century. His main achievements were in algebraic topology, real algebraic geometry, and ergodic theory. The volume contains the proceedings of the Conference on Topology, Geometry, and Dynamics: V. A. Rokhlin-100, held from August 19–23, 2019, at The Euler International Mathematics Institute and the Steklov Institute of Mathematics, St. Petersburg, Russia. The articles deal with topology of manifolds, theory of cobordisms, knot theory, geometry of real algebraic manifolds and dynamical systems and related topics. The book also contains Rokhlin's biography supplemented with copies of actual very interesting documents.

Tool Kit for Groupoid C∗ -Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 1470451336
Total Pages : 398 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Tool Kit for Groupoid C∗ -Algebras by : Dana P. Williams

Download or read book Tool Kit for Groupoid C∗ -Algebras written by Dana P. Williams and published by American Mathematical Soc.. This book was released on 2019-09-24 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The construction of a C∗-algebra from a locally compact groupoid is an important generalization of the group C∗-algebra construction and of the transformation group C∗-algebra construction. Since their introduction in 1980, groupoid C∗-algebras have been intensively studied with diverse applications, including graph algebras, classification theory, variations on the Baum-Connes conjecture, and noncommutative geometry. This book provides a detailed introduction to this vast subject and is suitable for graduate students or any researcher who wants to use groupoid C∗-algebras in their work. The main focus is to equip the reader with modern versions of the basic technical tools used in the subject, which will allow the reader to understand fundamental results and make contributions to various areas in the subject. Thus, in addition to covering the basic properties and construction of groupoid C∗-algebras, the focus is to give a modern treatment of some of the major developments in the subject in recent years, including the Equivalence Theorem and the Disintegration Theorem. Also covered are the complicated subjects of amenability of groupoids and simplicity results. The book is reasonably self-contained and accessible to graduate students with a good background in operator algebras.

Amenable Locally Compact Groups

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Amenable Locally Compact Groups by : Jean-Paul Pier

Download or read book Amenable Locally Compact Groups written by Jean-Paul Pier and published by Wiley-Interscience. This book was released on 1984-09-20 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Collects the most recent results scattered throughout the literature on the theory of amenable groups, presenting a detailed investigation of the major features. The first part of the book discusses the different types of amenability properties, with basic examples listed. The second part provides complementary information on various aspects of amenability and a look at future directions.