Open AccessJohnson pseudo-Connes amenability of dual Banach algebras
Author(s) -
Amir Sahami,
S. F. Shariati,
A. Pourabbas
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2102551s
Subject(s) - mathematics , dual (grammatical number) , pure mathematics , locally compact group , set (abstract data type) , locally compact space , group (periodic table) , algebra over a field , discrete mathematics , linguistics , computer science , philosophy , chemistry , organic chemistry , programming language
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,MI(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.