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25 Remote Warehouse Mathematics- Analysis General

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Abel Symposia #1: Operator Algebras

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Abel Symposia #1: Operator Algebras Cover

 

Synopses & Reviews

Publisher Comments:

The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as "non-commutative geometry". It has branched out in several sub-disciplines and made contact with other subjects. The contributions to this volume give a state-of-the-art account of some of these sub-disciplines and the variety of topics reflect to some extent how the subject has developed. This is the first volume in a prestigious new book series linked to the Abel prize.

Synopsis:

The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as non-commutative geometry (see for example the book Non-Commutative Geometry by the Fields medalist Alain Connes). It has branched out in several subdisciplines and made contact with other subjects like for example mathematical physics, algebraic topology, geometry, dynamical systems, knot theory, ergodic theory, wavelets, representations of groups and quantum groups. Norway has a relatively strong group of researchers in the subject, which contributed to the award of the first symposium in the series of Abel Symposia to this group. The contributions to this volume give a state-of-the-art account of some of these subdisciplines.

Table of Contents

Lawrence G. Brown and Gert K. Pedersen: Interpolation by Projections in C*-Algebras.- Alain Connes, Matilde Marcolli and Niranjan Ramachandran: KMS states and complex multiplication (Part II).- Joachim Cuntz: An algebraic description of boundary maps used in index theory.- Søren Eilers and Gunnar Restorff: On Rørdam's classification of certain C*-algebras with one non-trivial ideal.- George A. Elliott and Mikael Rørdam: Perturbation of Hausdorff moment sequences, and an application to the theory of C*-algebras of real rank zero.- David E. Evans: Twisted K-theory and Modular Invariants: I Quantum Doubles of Finite Groups.- Thierry Giordano, Ian F. Putnam and Christian F. Skau: The Orbit Structure of Cantor Minimal Z²-Systems.- Yoshikazu Katayama and Masamichi Takesaki: Outer Actions of a Group on a Factor.- Takeshi Katsura: Non-separable AF-algebras.- Eberhard Kirchberg: Central sequences in C*-algebras and strongly purely infinite algebras.- Akitaka Kishimoto: Lifting of an asymptotically inner flow for a separable C*-algebra.- Dimitri Shlyakhtenko: Remarks on Free Entropy Dimension.- Yoshimichi Ueda: Notes on Treeability and Costs for Discrete Groupoids in Operator Algebra Framework.- Index

Product Details

ISBN:
9783540341963
Author:
Bratteli, Ola
Publisher:
Springer
Editor:
Skau, Christian
Editor:
Neshveyev, Sergey
Author:
Skau, Christian
Author:
Neshveyev, Sergey
Subject:
Mathematical Analysis
Subject:
Algebra - General
Subject:
Differential Equations
Subject:
Functional Analysis
Subject:
C algebras
Subject:
K-theory
Subject:
Entropy
Subject:
non-commutative geomtry
Subject:
Operator algebras
Subject:
Operator theory
Subject:
Dynamical Systems and Ergodic Theory
Subject:
Theoretical, Mathematical and Computational Physics
Subject:
Theoretical, Mathematical and Computational Physics <P>The theme of the first Abel Symposium was operator algebras in a wide sense and this is the first volume in a prestigious new book series linked to the Abel prize. In the last 40 years operator algebr
Subject:
Mathematics-Analysis General
Copyright:
Edition Description:
Book
Series:
Abel Symposia
Series Volume:
1
Publication Date:
20060915
Binding:
HARDCOVER
Language:
English
Pages:
289
Dimensions:
235 x 155 mm 1290 gr

Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Differential Equations
Science and Mathematics » Mathematics » Functional Analysis

Abel Symposia #1: Operator Algebras New Hardcover
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Product details 289 pages Springer - English 9783540341963 Reviews:
"Synopsis" by , The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as non-commutative geometry (see for example the book Non-Commutative Geometry by the Fields medalist Alain Connes). It has branched out in several subdisciplines and made contact with other subjects like for example mathematical physics, algebraic topology, geometry, dynamical systems, knot theory, ergodic theory, wavelets, representations of groups and quantum groups. Norway has a relatively strong group of researchers in the subject, which contributed to the award of the first symposium in the series of Abel Symposia to this group. The contributions to this volume give a state-of-the-art account of some of these subdisciplines.
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