Search Results: k-theory-for-operator-algebras-mathematical-sciences-research-institute-publications

K-Theory for Operator Algebras

Author: Bruce Blackadar

Publisher: Springer Science & Business Media

ISBN: 1461395720

Category: Mathematics

Page: 337

View: 7007

K -Theory has revolutionized the study of operator algebras in the last few years. As the primary component of the subject of "noncommutative topol ogy," K -theory has opened vast new vistas within the structure theory of C* algebras, as well as leading to profound and unexpected applications of opera tor algebras to problems in geometry and topology. As a result, many topolo gists and operator algebraists have feverishly begun trying to learn each others' subjects, and it appears certain that these two branches of mathematics have become deeply and permanently intertwined. Despite the fact that the whole subject is only about a decade old, operator K -theory has now reached a state of relative stability. While there will undoubtedly be many more revolutionary developments and applications in the future, it appears the basic theory has more or less reached a "final form." But because of the newness of the theory, there has so far been no comprehensive treatment of the subject. It is the ambitious goal of these notes to fill this gap. We will develop the K -theory of Banach algebras, the theory of extensions of C*-algebras, and the operator K -theory of Kasparov from scratch to its most advanced aspects. We will not treat applications in detail; however, we will outline the most striking of the applications to date in a section at the end, as well as mentioning others at suitable points in the text.

Operator Algebra and Dynamics

Nordforsk Network Closing Conference, Faroe Islands, May 2012

Author: Toke M. Carlsen,Søren Eilers,Gunnar Restorff,Sergei Silvestrov

Publisher: Springer Science & Business Media

ISBN: 3642394590

Category: Mathematics

Page: 332

View: 703

Based on presentations given at the NordForsk Network Closing Conference “Operator Algebra and Dynamics,” held in Gjáargarður, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science. It covers the following topics: von Neumann algebras arising from discrete measured groupoids, purely infinite Cuntz-Krieger algebras, filtered K-theory over finite topological spaces, C*-algebras associated to shift spaces (or subshifts), graph C*-algebras, irrational extended rotation algebras that are shown to be C*-alloys, free probability, renewal systems, the Grothendieck Theorem for jointly completely bounded bilinear forms on C*-algebras, Cuntz-Li algebras associated with the a-adic numbers, crossed products of injective endomorphisms (the so-called Stacey crossed products), the interplay between dynamical systems, operator algebras and wavelets on fractals, C*-completions of the Hecke algebra of a Hecke pair, semiprojective C*-algebras, and the topological dimension of type I C*-algebras. Operator Algebra and Dynamics will serve as a useful resource for a broad spectrum of researchers and students in mathematics, physics, and engineering.

An Invitation to Noncommutative Geometry

Author: N.A

Publisher: N.A

ISBN: 9814475629

Category:

Page: N.A

View: 5919

Canadian Mathematical Society, 1945-1995: Invited papers

Author: Canadian Mathematical Society,Peter A. Fillmore

Publisher: N.A

ISBN: 9780919558083

Category: Mathematics

Page: 286

View: 7491

Operator algebras and quantum field theory

Accademia nazionale dei Lincei, Roma, July 1-6, 1996

Author: Accademia nazionale dei Lincei

Publisher: Intl Pr of Boston Inc

ISBN: N.A

Category: Mathematics

Page: 677

View: 2044

Operator Algebras and Their Applications

Author: Peter A. Fillmore,James A. Mingo

Publisher: American Mathematical Soc.

ISBN: 9780821871218

Category: Mathematics

Page: 323

View: 5014

The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?

Operator algebras and applications

Author: Aristides Katavolos,North Atlantic Treaty Organization. Scientific Affairs Division

Publisher: Kluwer Academic Pub

ISBN: 9780792346258

Category: Mathematics

Page: 467

View: 4642

During the last few years, the theory of operator algebras, particularly non-self-adjoint operator algebras, has evolved dramatically, experiencing both international growth and interfacing with other important areas. The present volume presents a survey of some of the latest developments in the field in a form that is detailed enough to be accessible to advanced graduate students as well as researchers in the field. Among the topics treated are: operator spaces, Hilbert modules, limit algebras, reflexive algebras and subspaces, relations to basis theory, C* algebraic quantum groups, endomorphisms of operator algebras, conditional expectations and projection maps, and applications, particularly to wavelet theory. The volume also features an historical paper offering a new approach to the Pythagoreans' discovery of irrational numbers.

The Mathematical Intelligencer

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 1826

Journal of Operator Theory

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8277

Revue Roumaine de Mathématiques Pures Et Appliqueés

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4148

Publicationes mathematicae

Author: Kossuth Lajos Tudományegyetem. Matematikai Intézet

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 7894

Bulletin of the American Mathematical Society

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8535

Bulletin (new Series) of the American Mathematical Society

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4291

Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 5800

Journal of the Korean Mathematical Society

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4528

Manuscripta Mathematica

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 8241

Quantum Gromov-Hausdorff Distance and Continuity of Connes and Dubois-Violette's 0-deformations

Author: Hanfeng Li

Publisher: N.A

ISBN: N.A

Category:

Page: 272

View: 9270

Leningrad Mathematical Journal

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Algebra

Page: N.A

View: 2804

Trends in Commutative Algebra

Author: Luchezar L. Avramov

Publisher: Cambridge University Press

ISBN: 0521831954

Category: Mathematics

Page: 254

View: 983

In 2002, an introductory workshop was held at the Mathematical Sciences Research Institute in Berkeley to survey some of the many directions of the commutative algebra field. Six principal speakers each gave three lectures, accompanied by a help session, describing the interaction of commutative algebra with other areas of mathematics for a broad audience of graduate students and researchers. This book is based on those lectures, together with papers from contributing researchers. David Benson and Srikanth Iyengar present an introduction to the uses and concepts of commutative algebra in the cohomology of groups. Mark Haiman considers the commutative algebra of n points in the plane. Ezra Miller presents an introduction to the Hilbert scheme of points to complement Professor Haiman's paper. Further contributors include David Eisenbud and Jessica Sidman; Melvin Hochster; Graham Leuschke; Rob Lazarsfeld and Manuel Blickle; Bernard Teissier; and Ana Bravo.

New Perspectives in Algebraic Combinatorics

Author: Louis J. Billera

Publisher: Cambridge University Press

ISBN: 9780521770873

Category: Mathematics

Page: 345

View: 502

2000 text containing expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.

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