Invariant means and finite representation theory of C*-algebras
著者
書誌事項
Invariant means and finite representation theory of C*-algebras
（Memoirs of the American Mathematical Society, no. 865）
American Mathematical Society, c2006
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注記
"November 2006, volume 184, number 865 (first of 4 numbers)"
Bibliography: p. 103-105
内容説明・目次
内容説明
Various subsets of the tracial state space of a unital $C^*$-algebra are studied. The largest of these subsets has a natural interpretation as the space of invariant means. II$_1$-factor representations of a class of $C^*$-algebras considered by Sorin Popa are also studied. These algebras are shown to have an unexpected variety of II$_1$-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems in operator algebras.
目次
Introduction Notation, definitions and useful facts Amenable traces and stronger approximation properties Examples and special cases Finite representations Applications and connections with other areas Bibliography.
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