Model Theory of Operator Algebras
1st Edition
Published on 24. July 2023
XII, 486 pages
978-3-11-076828-2 (ISBN)
Description
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.
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Isaac Goldbring
Model Theory of Operator Algebras
E-Book
07/2023
1st Edition
De Gruyter
€210.00
Available for download
Isaac Goldbring
Model Theory of Operator Algebras
Book
07/2023
1st Edition
De Gruyter
€210.00
Shipment within 5-7 days
Person
Isaac Goldbring
, University of California, Irvine, USA.
Content
- Intro
- Preface
- Contents
- Introduction to C*-algebras
- An introduction to von Neumann algebras
- An introduction to continuous model theory
- A survey on the model theory of tracial von Neumann algebras
- Model theory of probability spaces
- Free probability and model theory of tracial W*-algebras
- Tensor product indecomposability results for existentially closed factors
- Introduction to nontracial ultraproducts of von Neumann algebras
- Model theory of operator systems and C*-algebras
- Model theory of G-C*-algebras and order zero dimension
- Model theory and ultrapower embedding problems in operator algebras
- Fraïssé theory in operator algebras
- Index
