Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
OK
Please make all selections above before adding to cart
OK
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Invariant Means and Finite Representation Theory of $C^*$-Algebras
 
Nathanial P. Brown Pennsylvania State University, State College, PA
Front Cover for Invariant Means and Finite Representation Theory of $C^*$-Algebras
Available Formats:
Electronic 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
Front Cover for Invariant Means and Finite Representation Theory of $C^*$-Algebras
Click above image for expanded view
  • Front Cover for Invariant Means and Finite Representation Theory of $C^*$-Algebras
  • Back Cover for Invariant Means and Finite Representation Theory of $C^*$-Algebras
Invariant Means and Finite Representation Theory of $C^*$-Algebras
Nathanial P. Brown Pennsylvania State University, State College, PA
Available Formats:
Electronic 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
  • Request Review Copy
  • Get Permissions
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
Please select which format for which you are requesting permissions.