Invariant means and finite representation theory of C*-algebras

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Abstract

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. II1-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 II1-factor representations. In addition to developing some general theory we also show that these ideas are related to numerous other problems in operator algebras.

Original languageEnglish (US)
Pages (from-to)1-107
Number of pages107
JournalMemoirs of the American Mathematical Society
Volume184
Issue number865
StatePublished - Nov 1 2006

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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