02940nam 2200565 450 991078874320332120170822144122.01-4704-0469-9(CKB)3360000000465049(EBL)3114057(SSID)ssj0000889005(PQKBManifestationID)11462810(PQKBTitleCode)TC0000889005(PQKBWorkID)10875479(PQKB)10520227(MiAaPQ)EBC3114057(RPAM)14449860(PPN)195417542(EXLCZ)99336000000046504920060713h20062006 uy| 0engur|n|---|||||txtccrInvariant means and finite representation theory of C*-algebras /Nathanial P. BrownProvidence, Rhode Island :American Mathematical Society,[2006]©20061 online resource (122 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 865"Volume 184, number 865 (first of 4 numbers)."0-8218-3916-0 Includes bibliographical references (pages 103-105).""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""Memoirs of the American Mathematical Society ;no. 865.C*-algebrasRepresentations of algebrasC*-algebras.Representations of algebras.512/.556Brown Nathanial P(Nathanial Patrick),1972-318756MiAaPQMiAaPQMiAaPQBOOK9910788743203321-algebras3838133UNINA