Invariant Means and Finite Representation Theory of C*-Algebras (Memoirs of the American Mathematical Society No. 184)

Invariant Means and Finite Representation Theory of C*-Algebras (Memoirs of the American Mathematical Society No. 184)

By: Nathanial P. Brown (author)Paperback

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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.

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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.

Product Details

  • publication date: 15/10/2006
  • ISBN13: 9780821839164
  • Format: Paperback
  • Number Of Pages: 105
  • ID: 9780821839164
  • weight: 221
  • ISBN10: 0821839160

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