Omitting types and AF algebras

2012/12/14 by Kevin Carlson, Enoch Cheung, Carlson, Kevin +13 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.LO #math.OA

paper · pdf · doi:10.48550/arxiv.1212.3576

The present version includes an additional section with the relevant model-theoretic background

arxiv created 2012/12/23 · arxiv updated 2012/12/27

Abstract

We give model-theoretic characterizations of UHF algebras and of AF algebras as C*-algebras that omit certain sets of types.

Citations

• Model theory of operator algebras II: Model theory

Cited by

• Nonseparable UHF algebras II: Classification

Related

• Approximately Finite C*-Algebras and Partial Automorphisms
• Automorphisms of a non-type I C*-algebra
• Nonseparable UHF algebras I: Dixmier's problem
• Nonseparable UHF algebras II: Classification
• A class of AF-algebras up to universal UHF-algebra stability