Invariant Means and Finite Representation Theory of $C^*$-Algebras

Released on by Nathanial Patrick Brown
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  • Invariant Means and Finite Representation Theory of $C^*$-Algebras Book Detail

  • Author : Nathanial Patrick Brown
  • Release Date : 2006
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 122
  • ISBN 13 : 0821839160
  • File Size : 95,95 MB
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Invariant Means and Finite Representation Theory of $C^*$-Algebras by Nathanial Patrick Brown PDF Summary

Book 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 inoperator algebras.

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