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001			978-3-540-34197-0
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008			100301s2006 gw | s |||| 0|eng d
020			_a9783540341970 _9978-3-540-34197-0
024	7		_a10.1007/978-3-540-34197-0 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
245	1	0	_aOperator Algebras _h[electronic resource] : _bThe Abel Symposium 2004 / _cedited by Ola Bratteli, Sergey Neshveyev, Christian Skau.
246	3		_aProceedings of the First Abel Symposium, Oslo, September 3-5, 2004
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006.
300			_aX, 279 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aAbel Symposia ; _v1
505	0		_aInterpolation 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.
520			_aThe 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.
650		0	_aMathematics.
650		0	_aAlgebra.
650		0	_aK-theory.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650		0	_aDynamics.
650		0	_aErgodic theory.
650		0	_aFunctional analysis.
650		0	_aOperator theory.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aAlgebra.
650	2	4	_aAnalysis.
650	2	4	_aOperator Theory.
650	2	4	_aK-Theory.
650	2	4	_aDynamical Systems and Ergodic Theory.
700	1		_aBratteli, Ola. _eeditor.
700	1		_aNeshveyev, Sergey. _eeditor.
700	1		_aSkau, Christian. _eeditor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783540341963
830		0	_aAbel Symposia ; _v1
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-540-34197-0
912			_aZDB-2-SMA
950			_aMathematics and Statistics (Springer-11649)
999			_c507630 _d507630