Ideal and weak Amenability of Fréchet locally C^*-algebra

2021/12/15 by Rejali, Ali, Ranjbari, Ali
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2112.08419

Abstract

The notion of Fréchet locally C^*-algebra generalizes the notion of C^*-algebra. In this paper, we first present some definitions and basic facts about locally C^*-algebra, and then we introduce and study the notion of ideal and weak amenability for these algebras. Also, we show that every Fréchet locally C^*-algebra is ideally amenable.

Related

• n-ideal and n-weak amenability of Frechet algebras
• Amenability of Hopf C^*-algebras
• Flat cyclic Fréchet modules, amenable Fréchet algebras, and approximate identities
• Locally bounded approximate diagonal modulo an ideal of Frechet algebras
• Injective envelopes for locally C*-algebras