Connes-amenability of A ⊠Θ X
کد مقاله : 1022-SHAA
حسین لکزیان *
Department of Mathematics, Payame Noor University, 19395-4697 Tehran, I.R. of Iran.
چکیده مقاله:
In the present paper, first we characterize the multiplier algebra,
(maximal) ideals, minimal idempotents, spectrum and radical of the generalized amalgamated Banach algebra $Aboxtimes_Theta X$ in terms of $A$ and $X$ and the bilinear mapping $Theta$ from $Xtimes X$ into $A$. Then, we show that there are a strong relationship between Connes-amenability of $Aboxtimes_Theta X$, and the Banach algebras $A$ and $B$ and the mapping $Theta$. The results of this paper extend several results in the literature.
کلیدواژه ها:
Banach algebras, Amalgamated Banach algebras, Connes-amenable
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دهمین سمینار آنالیز هارمونیک و کاربردها