Geometry and Topology Seminar: Projectivity of Banach and C*-algebras of continuous fields.
25 February 2016 13:00 in CM221
The identification of projective algebras and projective closed ideals of Banach algebras, besides being of independent interest, is closely connected to continuous Hochschild cohomology. One of the main methods for computing cohomology groups is to construct projective or injective resolutions of the corresponding module and the algebra. In this talk we consider the question of the left projectivity and biprojectivity of some Banach algebras A and we give applications to the second continuous Hochschild cohomology group H^2(A,X) of A and to the strong splittability of singular extensions of A.