The regular completion of a C*-algebra with large projections

DOI10.1093/qmath/haz014zbMath1469.46051OpenAlexW2945521466MaRDI QIDQ5147020

Kazuyuki Saitô

Publication date: 2 February 2021

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/haz014

zbMATH Keywords

prime $C^*$-algebrasvery large projections

Mathematics Subject Classification ID

Classifications of (C^*)-algebras (46L35) Classification of factors (46L36)

Cites Work

• Ideals of factors
• The smallness problem for \(C^{*}\)-algebras
• Regular embeddings of C*-algebras in monotone complete C*-algebras
• A prime \(C^{*}\)-algebra that is not primitive
• A new prime \(C^{\ast}\)-algebra that is not primitive
• Embedding AW^∗ -Algebras as Double Commutants in Type I Algebras
• Embeddable AW^∗ -Algebras and Regular Completions
• Regular σ-Completions of C*-Algebras
• Wild AW^* -Factors and Kaplansky-Rickart Algebras
• Wild, Type III, Monotone Complete, Simple C ∗-Algebras Indexed by Cardinal Numbers