Invariant means and finite representation theory of C*-algebras

Author(s)

    • Brown, Nathanial P. (Nathanial Patrick)

Bibliographic Information

Invariant means and finite representation theory of C*-algebras

Nathanial P. Brown

(Memoirs of the American Mathematical Society, no. 865)

American Mathematical Society, c2006

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Note

"November 2006, volume 184, number 865 (first of 4 numbers)"

Bibliography: p. 103-105

Description and Table of Contents

Description

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.

Table of Contents

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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