Automorphisms of a non-type I C*-algebra

2013/03/27 by Akira Noguchi, Noguchi, Akira
Mathematics · #47D99 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Holomorphic and Operator Theory #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.1303.6855

openalex publication_date 2013/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Glimm's theorem says that a UHF algebra is almost embedded in a separable C^*-algebra not of type I. Applying his methods we obtain a covariant version of his result; a UHF algebra with a product type automorphism is covariantly embedded in such a C^*-algebra equipped with an automorphism with full Connes spectrum.

Related

• Approximately Finite C*-Algebras and Partial Automorphisms
• Reduced products of UHF algebras under forcing axioms
• C^*-bialgebra defined as the direct sum of UHF algebras
• The Automorphism group of a simple Z-stable C^*-algebra
• Glimm Spaces of Separable C*-algebras