| Description |
1 online resource (x, 279 pages) : illustrations (some color) |
| Series |
Abel symposia ; 1 |
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Abel symposia ; 1.
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| Contents |
Interpolation by projections in C*-algebras / Lawrence G. Brown and Gert K. Pedersen -- KMS states and complex multiplication (Part II) / Alain Connes, Matilde Marcolli and Niranjan Ramachandran -- Algebraic description of boundary maps used in index theory / Joachim Cuntz -- On Rordam's classification of certain C*-algebras with one non-trivial ideal / Soren Eilers and Gunnar Restorff -- Perturbation of Ausdorff moment sequences, and an application to the theory of C*-algebras of real rank zero / George A. Elliott and Mikael Rordan -- Twisted K-theory and modular invariants / David E. Evans -- Orbit structure of cantor minimal Z²-systems / Thierry Giordano, Ian F. Putnam and Christian F. Skau -- Outer actions of a group on a factor / Yoshikazu Katayama and Masamichi Takesaki -- Non-separable AF-algebras / Takeshi Katsura -- Central sequences in C*-algebras and strongly purely infinite algebras / Eberhard Kirchberg -- Lifting of an asymptotically inner flow for a separable C*-algebra / Akitaka Kishimoto -- Remarks on free entropy dimension / Dimitri Shlyakhtenko -- Notes on treeability and costs for discrete groupoids in operator algebra framework / Yoshimichi Ueda |
| Summary |
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 |
| Notes |
"ABEL prisen." |
| Bibliography |
Includes bibliographical references |
| In |
OhioLINK electronic book center |
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SpringerLink |
| Subject |
C*-algebras -- Congresses
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Von Neumann algebras -- Congresses
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MATHEMATICS -- Algebra -- Linear.
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Von Neumann algebras.
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C * -algèbres.
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Von Neumann, Algèbres de.
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C * -algebras.
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Neumann, Álgebras de -- Congresos
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C*-algebras
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Von Neumann algebras
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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| Form |
Electronic book
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| Author |
Bratteli, Ola
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Neshveyev, Sergey
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Skau, Christian
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| ISBN |
354034196X |
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9783540341963 |
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9783540341963 |
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9783540341970 |
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3540341978 |
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6610744173 |
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9786610744176 |
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