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Amenability, similarity and approximation

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Publication:1683429
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DOI10.1007/s00020-017-2397-3OpenAlexW2749861598MaRDI QIDQ1683429

Sen Zhu, Luo Yi Shi

Publication date: 8 December 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-017-2397-3

zbMATH Keywords

approximationspectrumsimilarityamenabilityexactness


Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operator approximation theory (47A58) Classifications of (C^*)-algebras (46L35) Linear operators in (C^*)- or von Neumann algebras (47C15)


Related Items

On algebras generated by a partial isometry



Cites Work

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  • Abelian, amenable operator algebras are similar to \(C^{\ast}\)-algebras
  • All nuclear C*-algebras are amenable
  • On the cohomology of operator algebras
  • On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
  • On the cross-norm of the direct product of \(C^ *\)-algebras
  • Applications of Fubini type theorem to the tensor products of \(C^ *\)- algebras
  • Commutants of unitaries in UHF algebras and functorial properties of exactness.
  • Embedding of continuous fields of C* -algebras in the Cuntz algebra 𝒪2
  • Amenable operators on Hilbert spaces
  • Cohomology in Banach algebras
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