Dual Fréchet algebras: Connes amenability and (σwc)-virtual diagonals

DOI10.1142/S1793557120501545zbMath1471.46045OpenAlexW2979913905MaRDI QIDQ4985520

Z. Alimohammadi, Ali Rejali

Publication date: 23 April 2021

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120501545

zbMATH Keywords

Fréchet algebraConnes amenabilityvirtual diagonal

Mathematics Subject Classification ID

General theory of topological algebras (46H05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Cites Work

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• Homology and cohomology for topological algebras
• Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities
• Automatic continuity of homomorphisms between Banach algebras and Fréchet algebras
• Amenability for dual Banach algebras
• Approximate amenability of Fréchet algebras
• Arens–Michael envelopes, homological epimorphisms, and relatively quasi-free algebras
• Factorization in Fréchet Algebras
• Dual Banach algebras: Connes-amenability, normal, virtual diagonals, and injectivity of the predual bimodule
• The existence of a factorized unbounded operator between Fréchet spaces
• Tensor Products of Locally Convex Algebras

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