Abel Symposia

The Abel Symposium 2004

By: Ola Bratteli (Editor), Sergey Neshveyev (Editor), Christian Skau (Editor)

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Hardcover | 3 August 2006

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292 Pages

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24.13 x 16.51 x 0.64

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The theme of this symposium was operator algebras in a wide sense. In the last 40 years operator algebras has developed from a rather special dis- pline within functional analysis to become a central ?eld 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 sub-disciplines and made contact with other subjects like for example mathematical physics, algebraic topology, geometry, dyn- ical 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 ?rst 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 sub-disciplines and the variety of topics re?ect to some extent how the subject has branched out. We are happy that some of the top researchers in the ?eld were willing to contribute. The basic ?eld of operator algebras is classi?ed within mathematics as part of functional analysis. Functional analysis treats analysis on in?nite - mensional spaces by using topological concepts. A linear map between two such spaces is called an operator. Examples are di?erential and integral - erators. An important feature is that the composition of two operators is a non-commutative operation.

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Non-Fiction Mathematics Algebra Calculus & Mathematical Analysis Differential Calculus & Equations Functional Analysis & Transforms Science Physics Reference, Information & Interdisciplinary Subjects Research & Information Information theory Cybernetics & Systems Theory

Interpolation by Projections in C*-Algebras	p. 1
KMS States and Complex Multiplication (Part II)	p. 15
An Algebraic Description of Boundary Maps Used in Index Theory	p. 61
On Rørdam's Classification of Certain C*-Algebras with One Non-Trivial Ideal	p. 87
Perturbation of Hausdorff Moment Sequences, and an Application to the Theory of C*-Algebras of Real Rank Zero	p. 97
Twisted K-Theory and Modular Invariants: I Quantum Doubles of Finite Groups	p. 117
The Orbit Structure of Cantor Minimal Z²-Systems	p. 145
Outer Actions of a Group on a Factor	p. 161
Non-Separable AF-Algebras	p. 165
XCentral Sequences in C*-Algebras and Strongly Purely Infinite Algebras	p. 175
Lifting of an Asymptotically Inner Flow for a Separable C*-Algebra	p. 233
Remarks on Free Entropy Dimension	p. 249
Notes on Treeability and Costs for Discrete Groupoids in Operator Algebra Framewor	p. 259
Table of Contents provided by Publisher. All Rights Reserved.

Abel Symposia

The Abel Symposium 2004

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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