Strong Morita equivalence of C*-algebras preserves nuclearity

DOI10.1007/BF01304815zbMath0471.46043OpenAlexW2317295221MaRDI QIDQ1157532

Heinrich H. Zettl

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01304815

zbMATH Keywords

injectivityMorita equivalenceHilbert modulesimprimitivity bimodulenuclearitytrace-class representation

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items

Nuclear \(C^ *\)-algebras and related questions ⋮ Properties preserved under Morita equivalence of 𝐂*-algebras

Cites Work

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• A characterization of ternary rings of operators
• Morita equivalence for C\(^*\)-algebras and W\(^*\)-algebras
• Induced representations of C\(^*\)-algebras
• Inner Product Modules Arising from Compact Automorphism Groups of Von Neumann Algebras
• Inner Product Modules Over B ∗ -Algebras