عنوان	-biprojectivity and -bi atness of some Banach algebras
نوع پژوهش	مقاله ارائه شده کنفرانسی
کلیدواژه‌ها	Banach algebra, -bi atness, -biprojectivity, -amenability, -inner amenability
چکیده	We introduce some notions of homological Banach algebras related to a multiplicative linear functionl, like ????bi atness, ????biprojectivity and ????Johnson amenability. We also give a notion of character biprojective Banach algebras. We study the structure of Banach algebras, under these new notions. Indeed, we will see that a Banach algebra A is ????Johnson amenable if and only if A is ????bi at and A is ????inner amenable. We show that for a locally compact group G, L1(G) is -bi at if and only if G is amenable. We characterize ????biprojectivity of the Segal algebras. We show that S(G) is ????biprojective if and only if G is compact. We also show that the Fourier algebra A(G) is -biprojective if and only if G is discrete. The measure algebra M(G) is character biprojective if and only if G is nite. We also give a criteria which shows that some triangular Banach algebras are not ????biprojective.
پژوهشگران	امیر سهامی (نفر اول)، صادق امیری (نفر دوم)، عبدالرسول پورعباس (نفر سوم)