Model Theory of Operator Algebras / / ed. by Isaac Goldbring.

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
• MitwirkendeR: Ando, Hiroshi,; Berenstein, Alexander,; Chifan, Ionuţ,; Drimbe, Daniel,
• HerausgeberIn: Goldbring, Isaac,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2023]; ©2023
• Year of Publication: 2023
• Language: English
• Series: De Gruyter Series in Logic and Its Applications , 11
• Physical Description: 1 online resource (XII, 486 p.)
• Other title: Frontmatter --; 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110768282; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• ISSN: 1438-1893
• DOI: 10.1515/9783110768282
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: ed. by Isaac Goldbring.

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.