Classification of Nuclear C*-Algebras. Entropy in Operator Algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2002
|
| Schriftenreihe: | Encyclopaedia of Mathematical Sciences, Operator Algebras and Non-Commutative Geometry
126 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam entitled "Classification of Nuclear, Simple C*-Algebras" is on Elliotts classification program. The emphasis is on the classification by Kirchberg and Phillips of Kirchberg algebras: purely infinite, simple, nuclear separable C*-algebras. This classification result is described almost with full proofs starting from Kirchbergs tensor product theorems and Kirchbergs embedding theorem for exact C*-algebras. The classificatin of finite simple C*-algebras starting with AF-algebras, and continuing with AF- and AH-algberas) is covered, but mostly without proofs. The second part, written by E.Stormer entitled "A Survey of Noncommutative Dynamical Entropy" is a survey of the theory of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001. The main definitions and resuls are discussed and illustrated with the key examples in the theory. This book will be useful to graduate students and researchers in the field of operator algebras and related areas |
| Beschreibung: | 1 Online-Ressource (IX, 198 p) |
| ISBN: | 9783662048252 9783642076053 |
| ISSN: | 0938-0396 |
| DOI: | 10.1007/978-3-662-04825-2 |
Internformat
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| spelling | Rørdam, Mikael Verfasser aut Classification of Nuclear C*-Algebras. Entropy in Operator Algebras by Mikael Rørdam, Erling Størmer Berlin, Heidelberg Springer Berlin Heidelberg 2002 1 Online-Ressource (IX, 198 p) txt rdacontent c rdamedia cr rdacarrier Encyclopaedia of Mathematical Sciences, Operator Algebras and Non-Commutative Geometry 126 0938-0396 This EMS volume consists of two parts, written by leading scientists in the field of operator algebras and non-commutative geometry. The first part, written by M.Rordam entitled "Classification of Nuclear, Simple C*-Algebras" is on Elliotts classification program. The emphasis is on the classification by Kirchberg and Phillips of Kirchberg algebras: purely infinite, simple, nuclear separable C*-algebras. This classification result is described almost with full proofs starting from Kirchbergs tensor product theorems and Kirchbergs embedding theorem for exact C*-algebras. The classificatin of finite simple C*-algebras starting with AF-algebras, and continuing with AF- and AH-algberas) is covered, but mostly without proofs. The second part, written by E.Stormer entitled "A Survey of Noncommutative Dynamical Entropy" is a survey of the theory of noncommutative entropy of automorphisms of C*-algebras and von Neumann algebras from its initiation by Connes and Stormer in 1975 till 2001. The main definitions and resuls are discussed and illustrated with the key examples in the theory. This book will be useful to graduate students and researchers in the field of operator algebras and related areas Mathematics Algebra Global analysis (Mathematics) Geometry Analysis Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Mathematik C-Stern-Algebra (DE-588)4136693-1 gnd rswk-swf Entropie (DE-588)4014894-4 gnd rswk-swf Operatoralgebra (DE-588)4129366-6 gnd rswk-swf C-Stern-Algebra (DE-588)4136693-1 s Operatoralgebra (DE-588)4129366-6 s Entropie (DE-588)4014894-4 s 1\p DE-604 Størmer, Erling Sonstige oth https://doi.org/10.1007/978-3-662-04825-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Rørdam, Mikael Classification of Nuclear C*-Algebras. Entropy in Operator Algebras Mathematics Algebra Global analysis (Mathematics) Geometry Analysis Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Mathematik C-Stern-Algebra (DE-588)4136693-1 gnd Entropie (DE-588)4014894-4 gnd Operatoralgebra (DE-588)4129366-6 gnd |
| subject_GND | (DE-588)4136693-1 (DE-588)4014894-4 (DE-588)4129366-6 |
| title | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras |
| title_auth | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras |
| title_exact_search | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras |
| title_full | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras by Mikael Rørdam, Erling Størmer |
| title_fullStr | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras by Mikael Rørdam, Erling Størmer |
| title_full_unstemmed | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras by Mikael Rørdam, Erling Størmer |
| title_short | Classification of Nuclear C*-Algebras. Entropy in Operator Algebras |
| title_sort | classification of nuclear c algebras entropy in operator algebras |
| topic | Mathematics Algebra Global analysis (Mathematics) Geometry Analysis Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Mathematik C-Stern-Algebra (DE-588)4136693-1 gnd Entropie (DE-588)4014894-4 gnd Operatoralgebra (DE-588)4129366-6 gnd |
| topic_facet | Mathematics Algebra Global analysis (Mathematics) Geometry Analysis Theoretical, Mathematical and Computational Physics Statistical Physics, Dynamical Systems and Complexity Mathematik C-Stern-Algebra Entropie Operatoralgebra |
| url | https://doi.org/10.1007/978-3-662-04825-2 |
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