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Record Nr. |
UNINA9910788743203321 |
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Autore |
Brown Nathanial P (Nathanial Patrick), <1972-> |
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Titolo |
Invariant means and finite representation theory of C-algebras / / Nathanial P. Brown |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2006] |
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©2006 |
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ISBN |
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Descrizione fisica |
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1 online resource (122 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 865 |
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Disciplina |
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Soggetti |
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C*-algebras |
Representations of algebras |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"Volume 184, number 865 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references (pages 103-105). |
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Nota di contenuto |
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""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Notation, definitions and useful facts""; ""Chapter 3. Amenable traces and stronger approximation properties""; ""3.1. Characterizations of amenable traces""; ""3.2. Uniform amenable traces""; ""3.3. Quasidiagonal traces""; ""3.4. Locally finite dimensional traces""; ""3.5. Miscellaneous remarks and permanence properties""; ""Chapter 4. Examples and special cases""; ""4.1. Discrete groups""; ""4.2. Nuclear and WEP C*- algebras""; ""4.3. Locally reflexive, exact and quasidiagonal C*-algebras""; ""4.4. Type I C*-algebras"" |
""4.5. Tracially AF C*-algebras""""Chapter 5. Finite representations""; ""5.1. Ili-factor representations of some universal C*-algebras""; ""5.2. Elliott's intertwining argument for IIi-factors""; ""5.3. Hi-factor representations of Popa Algebras""; ""Chapter 6. Applications and connections with other areas""; ""6.1. Elliott's classification program""; ""6.2. Counterexamples to questions of Lin and Popa""; ""6.3. Connes' embedding problem""; ""6.4. Amenable traces and numerical analysis""; ""6.5. Amenable traces and obstructions in K-homology"" |
""6.6. Stable finiteness versus quasidiagonality""""6.7. Questions""; ""Bibliography"" |
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