Johnson pseudo-Connes amenability of dual Banach algebras

2018/01/10 by S. F. Shariati, Shariati, S. F., A. Pourabbas +3
Mathematics · #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1801.03369

openalex publication_date 2018/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce the notion of Johnson pseudo-Connes amenability for dual Banach algebras. We study the relation between this new notion with the various notions of Connes amenability like Connes amenability, approximate Connes amenability and pseudo Connes amenability. We also investigate some hereditary properties of this new notion. We prove that for a locally compact group G, M(G) is Johnson pseudo-Connes amenable if and only if G is amenable. Also we show that for every non-empty set I, \mathbbM_I(ℂ) under this new notion is forced to have a finite index. Finally, we provide some examples of certain dual Banach algebras and we study their Johnson pseudo-Connes amenability.

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