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200 10$aInvariant means and finite representation theory of C*-algebras /$fNathanial P. Brown
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2006]
210  4$d©2006
215   $a1 online resource (122 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 865
300   $a"Volume 184, number 865 (first of 4 numbers)."
311   $a0-8218-3916-0 
320   $aIncludes bibliographical references (pages 103-105).
327   $a""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""
327   $a""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""
327   $a""6.6. Stable finiteness versus quasidiagonality""""6.7. Questions""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 865.
606   $aC*-algebras
606   $aRepresentations of algebras
615  0$aC*-algebras.
615  0$aRepresentations of algebras.
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