Operator Algebras

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 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 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 developed. 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.

First volume in prestigious new book series linked to the Abel prize Includes supplementary material: sn.pub/extras

Contenu
Interpolation by Projections in C-Algebras.- KMS States and Complex Multiplication (Part II).- An Algebraic Description of Boundary Maps Used in Index Theory.- On Rørdam's Classification of Certain C-Algebras with One Non-Trivial Ideal.- Perturbation of Hausdorff Moment Sequences, and an Application to the Theory of C-Algebras of Real Rank Zero.- Twisted K-Theory and Modular Invariants: I Quantum Doubles of Finite Groups.- The Orbit Structure of Cantor Minimal Z2-Systems.- Outer Actions of a Group on a Factor.- Non-Separable AF-Algebras.- Central Sequences in C-Algebras and Strongly Purely Infinite Algebras.- Lifting of an Asymptotically Inner Flow for a Separable C*-Algebra.- Remarks on Free Entropy Dimension.- Notes on Treeability and Costs for Discrete Groupoids in Operator Algebra Framework.