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Invariant Means and Finite Representation Theory of $C^*$-Algebras
 
Nathanial P. Brown Pennsylvania State University, State College, PA
Invariant Means and Finite Representation Theory of $C^*$-Algebras
eBook ISBN:  978-1-4704-0469-7
Product Code:  MEMO/184/865.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $39.00
Invariant Means and Finite Representation Theory of $C^*$-Algebras
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Invariant Means and Finite Representation Theory of $C^*$-Algebras
Nathanial P. Brown Pennsylvania State University, State College, PA
eBook ISBN:  978-1-4704-0469-7
Product Code:  MEMO/184/865.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $39.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1842006; 105 pp
    MSC: Primary 46;

    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
     
     
    • Chapters
    • 1. Introduction
    • 2. Notation, definitions and useful facts
    • 3. Amenable traces and stronger approximation properties
    • 4. Examples and special cases
    • 5. Finite representations
    • 6. Applications and connections with other areas
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1842006; 105 pp
MSC: Primary 46;

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.

  • Chapters
  • 1. Introduction
  • 2. Notation, definitions and useful facts
  • 3. Amenable traces and stronger approximation properties
  • 4. Examples and special cases
  • 5. Finite representations
  • 6. Applications and connections with other areas
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.