| 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 |
| 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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 184; 2006; 105 ppMSC: 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.
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Table of Contents
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Chapters
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1. Introduction
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2. Notation, definitions and useful facts
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3. Amenable traces and stronger approximation properties
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4. Examples and special cases
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5. Finite representations
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6. Applications and connections with other areas
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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
