On ϕ ⨂ψ -Strongly Connes Amenability for Certain Dual Banach Algebras
کد مقاله : 1002-SHAA
ابراهیم تمیمی *
گروه ریاضی- دانشکده علوم پایه و فنی مهندسی- دانشگاه ولایت- ایرانشهر- سیستان و بلوچستان-ایران
چکیده مقاله:
In this paper, the notions of strongly Connes amenability for explicit products of
Banach algebras and module extension of a Banach algebra is developed. Indeed, we characterize
-strongly Connes amenability of projective tensor product Ab
B via so-called ϕ
virtual diagonals and as a result ϕ
-normal virtual diagonals, where ϕ 2 A and 2 B, are
two-linear functionals on dual Banach algebras A and B, respectively. Also, we present necessary
and sufficient conditions for the existence of (ϕ; )-wc virtual diagonals in -Lau product A B.
Finally, we characterize (ϕ; 0)-wc virtual diagonal and (ϕ; 0)-strongly Connes amenability for
the module extension of Banach algebra A  X, where X is a normal Banach A-bimodule with
predual X.
کلیدواژه ها:
Dual Banach algebra, ϕ-Strongly Connes amenability, θ-Lau product, ϕ-ɕwc Virtual diagonal, Module extension of Banach algebra
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