Model Theory of Operator Algebras
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About this book
Continuous model theory is an extension of classical first order logic which is best suited for classes of structures which are endowed with a metric. Applications have grown considerably in the past decade. This book is dedicated to showing how the techniques of continuous model theory are used to study C*-algebras and von Neumann algebras. This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
This book geared to researchers in both logic and functional analysis provides the first self-contained collection of articles surveying the many applications of continuous logic to operator algebras that have been obtained in the last 15 years.
Author / Editor information
Topics
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Frontmatter
I -
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Preface
VII -
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Contents
XI -
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Introduction to C∗-algebras
1 -
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An introduction to von Neumann algebras
43 -
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An introduction to continuous model theory
83 -
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A survey on the model theory of tracial von Neumann algebras
133 -
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Model theory of probability spaces
159 -
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Free probability and model theory of tracial W∗-algebras
215 -
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Tensor product indecomposability results for existentially closed factors
269 -
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Introduction to nontracial ultraproducts of von Neumann algebras
303 -
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Model theory of operator systems and C∗-algebras
343 -
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Model theory of G-C*-algebras and order zero dimension
387 -
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Model theory and ultrapower embedding problems in operator algebras
425 -
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Fraïssé theory in operator algebras
453 -
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Index
479
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