مشخصات پژوهش

عنوان	The First and Second Hochschild Cohomology Groups of Banach Algebras with Coefficients in Special Symmetric Bimodules
نوع پژوهش	مقاله چاپ‌شده در مجلات علمی
کلیدواژه‌ها	First cohomology group, Second cohomology group, Banach algebra, Symmetric bimodule, Character
چکیده	Let A be a Banach algebra and φ be a character on A. In this paper we consider the class SMA φ of Banach A-bimodules X for which the module actions of A on X is given by a · x = x · a = φ(a)x (a ∈ A, x ∈ X) and we study the first and second continuous Hochschild cohomology groups of A with coefficients in X ∈ SMA φ . We obtain some sufficient conditions under which H1(A, X) = {0} and H2(A, X) is Hausdorff, where X ∈ SMA φ . We also consider the property that H1(A, X) = {0} for every X ∈SMA φ and get some conclusions about this property. Finally, we apply our results to some Banach algebras related to locally compact groups.
پژوهشگران	اسمعیل فیضی (نفر اول)، هوگر قهرمانی (نفر دوم)، وانیا خداکرمی (نفر سوم)