Khalkhali, Masoud.2014-10-2119911991AAINN71501http://hdl.handle.net/10222/55266In this thesis we study some aspects of A. Connes' entire cyclic cohomology theory. This is a new cohomology theory of de Rham type for Banach algebras. We prove a comparison theorem which shows that the theory can be formulated in terms of the Loday-Quillen-Tsygan bicomplex. This allows us to extend the theory to the non-unital category and is a basis for the rest of the thesis. We improve on the existing formulas for pairing with K-theory and prove stability and additivity results for the theory. Finally, we prove a vanishing theorem for actions of derivations on the theory and deduce the homotopy invariance of the theory.Thesis (Ph.D.)--Dalhousie University (Canada), 1991.Mathematics.text