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9781470478285 Academic Inspection Copy

Noncommutative Choquet Theory

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Kenneth R. Davidson, University of Waterloo, Ontario, Canada, and Matthew Kennedy, University of Waterloo, Ontario, Canada.
Chapters 1. Introduction 2. Noncommutative convex sets 3. Categorical duality 4. Noncommutative functions 5. Dilations of points and representations of maps 6. Extreme points 7. Noncommutative convex functions 8. Orders on Completely Positive Maps 9. Noncommutative Choquet-Bishop-de Leeuw theorem 10. Noncommutative integral representation theorem
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