Nuclearity-related properties for nonselfadjoint algebras

2008/04/01 by David P. Blecher, Blecher, David P., Benton L. Duncan +1 · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.0804.0028

openalex publication_date 2008/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In analogy with the C*-algebra theory, we study variants appropriate to nonselfadjoint algebras of nuclearity, the local lifting property, exactness, and the weak expectation property. In addition, we study the relationships between these notions, and how they are connected with the classical C*-algebra theory through the use of C*-algebras generated by the algebra.

Citations

• Subalgebras of C*-algebras

Cited by

• Relative Weak Injectivity for C*-algebras
• Relative Weak Injectivity for Operator Systems

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